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Finding the Fourth Proportional to 2,542.40, 3,812.04 and 1,663.83

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Solution

The fourth proportional to 2,542.40, 3,812.04 and 1,663.83 is: 2,494.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,542.40 : 3,812.04 = 1,663.83 : x
  2. Step 2: Convert to fraction form
    2,542.40/3,812.04 = 1,663.83/x
  3. Step 3: Cross multiply
    2,542.40x = 3,812.04 × 1,663.83
  4. Step 4: Simplify right side
    2,542.40x = 6,342,586.51
  5. Step 5: Solve for x
    x = 6,342,586.51/2,542.40
  6. Step 6: Final answer
    x = 2,494.72

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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.