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Finding the Fourth Proportional to 1,781.70, 2,458.47 and 1,035.54

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Solution

The fourth proportional to 1,781.70, 2,458.47 and 1,035.54 is: 1,428.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,781.70 : 2,458.47 = 1,035.54 : x
  2. Step 2: Convert to fraction form
    1,781.70/2,458.47 = 1,035.54/x
  3. Step 3: Cross multiply
    1,781.70x = 2,458.47 × 1,035.54
  4. Step 4: Simplify right side
    1,781.70x = 2,545,844.02
  5. Step 5: Solve for x
    x = 2,545,844.02/1,781.70
  6. Step 6: Final answer
    x = 1,428.88

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