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Finding the Fourth Proportional to 2,609.10, 3,932.82 and 2,458.53

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Solution

The fourth proportional to 2,609.10, 3,932.82 and 2,458.53 is: 3,705.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,609.10 : 3,932.82 = 2,458.53 : x
  2. Step 2: Convert to fraction form
    2,609.10/3,932.82 = 2,458.53/x
  3. Step 3: Cross multiply
    2,609.10x = 3,932.82 × 2,458.53
  4. Step 4: Simplify right side
    2,609.10x = 9,668,955.95
  5. Step 5: Solve for x
    x = 9,668,955.95/2,609.10
  6. Step 6: Final answer
    x = 3,705.86

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.