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Finding the Fourth Proportional to 2,540.92, 3,505.20 and 1,656.40

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Solution

The fourth proportional to 2,540.92, 3,505.20 and 1,656.40 is: 2,285.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,540.92 : 3,505.20 = 1,656.40 : x
  2. Step 2: Convert to fraction form
    2,540.92/3,505.20 = 1,656.40/x
  3. Step 3: Cross multiply
    2,540.92x = 3,505.20 × 1,656.40
  4. Step 4: Simplify right side
    2,540.92x = 5,806,013.28
  5. Step 5: Solve for x
    x = 5,806,013.28/2,540.92
  6. Step 6: Final answer
    x = 2,285.00

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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.