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Finding the Fourth Proportional to 2,539.10, 3,502.92 and 1,654.58

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Solution

The fourth proportional to 2,539.10, 3,502.92 and 1,654.58 is: 2,282.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,539.10 : 3,502.92 = 1,654.58 : x
  2. Step 2: Convert to fraction form
    2,539.10/3,502.92 = 1,654.58/x
  3. Step 3: Cross multiply
    2,539.10x = 3,502.92 × 1,654.58
  4. Step 4: Simplify right side
    2,539.10x = 5,795,861.37
  5. Step 5: Solve for x
    x = 5,795,861.37/2,539.10
  6. Step 6: Final answer
    x = 2,282.64

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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.