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Finding the Fourth Proportional to 2,265.73, 3,125.38 and 1,425.10

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Solution

The fourth proportional to 2,265.73, 3,125.38 and 1,425.10 is: 1,965.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,265.73 : 3,125.38 = 1,425.10 : x
  2. Step 2: Convert to fraction form
    2,265.73/3,125.38 = 1,425.10/x
  3. Step 3: Cross multiply
    2,265.73x = 3,125.38 × 1,425.10
  4. Step 4: Simplify right side
    2,265.73x = 4,453,979.04
  5. Step 5: Solve for x
    x = 4,453,979.04/2,265.73
  6. Step 6: Final answer
    x = 1,965.80

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.