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Finding the Fourth Proportional to 2,614.68, 3,604.91 and 2,140.83

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Solution

The fourth proportional to 2,614.68, 3,604.91 and 2,140.83 is: 2,951.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,614.68 : 3,604.91 = 2,140.83 : x
  2. Step 2: Convert to fraction form
    2,614.68/3,604.91 = 2,140.83/x
  3. Step 3: Cross multiply
    2,614.68x = 3,604.91 × 2,140.83
  4. Step 4: Simplify right side
    2,614.68x = 7,717,488.77
  5. Step 5: Solve for x
    x = 7,717,488.77/2,614.68
  6. Step 6: Final answer
    x = 2,951.60

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.