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Finding the Fourth Proportional to 2,614.46, 3,921.70 and 666.68

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Solution

The fourth proportional to 2,614.46, 3,921.70 and 666.68 is: 1,000.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,614.46 : 3,921.70 = 666.68 : x
  2. Step 2: Convert to fraction form
    2,614.46/3,921.70 = 666.68/x
  3. Step 3: Cross multiply
    2,614.46x = 3,921.70 × 666.68
  4. Step 4: Simplify right side
    2,614.46x = 2,614,518.96
  5. Step 5: Solve for x
    x = 2,614,518.96/2,614.46
  6. Step 6: Final answer
    x = 1,000.02

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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.