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Finding the Fourth Proportional to 2,312.34, 3,468.16 and 851.17

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Solution

The fourth proportional to 2,312.34, 3,468.16 and 851.17 is: 1,276.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,312.34 : 3,468.16 = 851.17 : x
  2. Step 2: Convert to fraction form
    2,312.34/3,468.16 = 851.17/x
  3. Step 3: Cross multiply
    2,312.34x = 3,468.16 × 851.17
  4. Step 4: Simplify right side
    2,312.34x = 2,951,972.15
  5. Step 5: Solve for x
    x = 2,951,972.15/2,312.34
  6. Step 6: Final answer
    x = 1,276.62

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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.