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Finding the Fourth Proportional to 2,142.70, 3,206.85 and 2,142.70

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Solution

The fourth proportional to 2,142.70, 3,206.85 and 2,142.70 is: 3,206.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,142.70 : 3,206.85 = 2,142.70 : x
  2. Step 2: Convert to fraction form
    2,142.70/3,206.85 = 2,142.70/x
  3. Step 3: Cross multiply
    2,142.70x = 3,206.85 × 2,142.70
  4. Step 4: Simplify right side
    2,142.70x = 6,871,317.50
  5. Step 5: Solve for x
    x = 6,871,317.50/2,142.70
  6. Step 6: Final answer
    x = 3,206.85

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Half scale
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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.