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Finding the Fourth Proportional to 1,740.78, 2,402.13 and 1,032.60

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Solution

The fourth proportional to 1,740.78, 2,402.13 and 1,032.60 is: 1,424.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,740.78 : 2,402.13 = 1,032.60 : x
  2. Step 2: Convert to fraction form
    1,740.78/2,402.13 = 1,032.60/x
  3. Step 3: Cross multiply
    1,740.78x = 2,402.13 × 1,032.60
  4. Step 4: Simplify right side
    1,740.78x = 2,480,439.44
  5. Step 5: Solve for x
    x = 2,480,439.44/1,740.78
  6. Step 6: Final answer
    x = 1,424.90

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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.