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Finding the Fourth Proportional to 2,539.64, 3,505.20 and 1,656.20

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Solution

The fourth proportional to 2,539.64, 3,505.20 and 1,656.20 is: 2,285.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,539.64 : 3,505.20 = 1,656.20 : x
  2. Step 2: Convert to fraction form
    2,539.64/3,505.20 = 1,656.20/x
  3. Step 3: Cross multiply
    2,539.64x = 3,505.20 × 1,656.20
  4. Step 4: Simplify right side
    2,539.64x = 5,805,312.24
  5. Step 5: Solve for x
    x = 5,805,312.24/2,539.64
  6. Step 6: Final answer
    x = 2,285.88

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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.