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Finding the Fourth Proportional to 1,654.10, 2,480.24 and 729.18

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Solution

The fourth proportional to 1,654.10, 2,480.24 and 729.18 is: 1,093.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,654.10 : 2,480.24 = 729.18 : x
  2. Step 2: Convert to fraction form
    1,654.10/2,480.24 = 729.18/x
  3. Step 3: Cross multiply
    1,654.10x = 2,480.24 × 729.18
  4. Step 4: Simplify right side
    1,654.10x = 1,808,541.40
  5. Step 5: Solve for x
    x = 1,808,541.40/1,654.10
  6. Step 6: Final answer
    x = 1,093.37

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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.