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Finding the Fourth Proportional to 2,109.70, 3,157.35 and 2,109.70

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Solution

The fourth proportional to 2,109.70, 3,157.35 and 2,109.70 is: 3,157.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,109.70 : 3,157.35 = 2,109.70 : x
  2. Step 2: Convert to fraction form
    2,109.70/3,157.35 = 2,109.70/x
  3. Step 3: Cross multiply
    2,109.70x = 3,157.35 × 2,109.70
  4. Step 4: Simplify right side
    2,109.70x = 6,661,061.30
  5. Step 5: Solve for x
    x = 6,661,061.30/2,109.70
  6. Step 6: Final answer
    x = 3,157.35

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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.