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Finding the Fourth Proportional to 2,712.46, 4,068.68 and 660.46

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Solution

The fourth proportional to 2,712.46, 4,068.68 and 660.46 is: 990.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,712.46 : 4,068.68 = 660.46 : x
  2. Step 2: Convert to fraction form
    2,712.46/4,068.68 = 660.46/x
  3. Step 3: Cross multiply
    2,712.46x = 4,068.68 × 660.46
  4. Step 4: Simplify right side
    2,712.46x = 2,687,200.39
  5. Step 5: Solve for x
    x = 2,687,200.39/2,712.46
  6. Step 6: Final answer
    x = 990.69

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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.