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Finding the Fourth Proportional to 2,143.80, 3,003.75 and 2,143.80

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Solution

The fourth proportional to 2,143.80, 3,003.75 and 2,143.80 is: 3,003.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,143.80 : 3,003.75 = 2,143.80 : x
  2. Step 2: Convert to fraction form
    2,143.80/3,003.75 = 2,143.80/x
  3. Step 3: Cross multiply
    2,143.80x = 3,003.75 × 2,143.80
  4. Step 4: Simplify right side
    2,143.80x = 6,439,439.25
  5. Step 5: Solve for x
    x = 6,439,439.25/2,143.80
  6. Step 6: Final answer
    x = 3,003.75

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.