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Finding the Fourth Proportional to 1,781.40, 2,458.26 and 1,035.38

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Solution

The fourth proportional to 1,781.40, 2,458.26 and 1,035.38 is: 1,428.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,781.40 : 2,458.26 = 1,035.38 : x
  2. Step 2: Convert to fraction form
    1,781.40/2,458.26 = 1,035.38/x
  3. Step 3: Cross multiply
    1,781.40x = 2,458.26 × 1,035.38
  4. Step 4: Simplify right side
    1,781.40x = 2,545,233.24
  5. Step 5: Solve for x
    x = 2,545,233.24/1,781.40
  6. Step 6: Final answer
    x = 1,428.78

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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.