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Finding the Fourth Proportional to 2,713.60, 4,070.40 and 2,304.55

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Solution

The fourth proportional to 2,713.60, 4,070.40 and 2,304.55 is: 3,456.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,713.60 : 4,070.40 = 2,304.55 : x
  2. Step 2: Convert to fraction form
    2,713.60/4,070.40 = 2,304.55/x
  3. Step 3: Cross multiply
    2,713.60x = 4,070.40 × 2,304.55
  4. Step 4: Simplify right side
    2,713.60x = 9,380,440.32
  5. Step 5: Solve for x
    x = 9,380,440.32/2,713.60
  6. Step 6: Final answer
    x = 3,456.83

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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.