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Finding the Fourth Proportional to 3,614.17, 4,987.02 and 2,042.23

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Solution

The fourth proportional to 3,614.17, 4,987.02 and 2,042.23 is: 2,817.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,614.17 : 4,987.02 = 2,042.23 : x
  2. Step 2: Convert to fraction form
    3,614.17/4,987.02 = 2,042.23/x
  3. Step 3: Cross multiply
    3,614.17x = 4,987.02 × 2,042.23
  4. Step 4: Simplify right side
    3,614.17x = 10,184,641.85
  5. Step 5: Solve for x
    x = 10,184,641.85/3,614.17
  6. Step 6: Final answer
    x = 2,817.98

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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.