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Finding the Fourth Proportional to 1,654.29, 2,478.78 and 874.26

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Solution

The fourth proportional to 1,654.29, 2,478.78 and 874.26 is: 1,309.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,654.29 : 2,478.78 = 874.26 : x
  2. Step 2: Convert to fraction form
    1,654.29/2,478.78 = 874.26/x
  3. Step 3: Cross multiply
    1,654.29x = 2,478.78 × 874.26
  4. Step 4: Simplify right side
    1,654.29x = 2,167,098.20
  5. Step 5: Solve for x
    x = 2,167,098.20/1,654.29
  6. Step 6: Final answer
    x = 1,309.99

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.