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Finding the Fourth Proportional to 1,990.74, 2,743.56 and 1,542

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Solution

The fourth proportional to 1,990.74, 2,743.56 and 1,542 is: 2,125.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,990.74 : 2,743.56 = 1,542 : x
  2. Step 2: Convert to fraction form
    1,990.74/2,743.56 = 1,542/x
  3. Step 3: Cross multiply
    1,990.74x = 2,743.56 × 1,542
  4. Step 4: Simplify right side
    1,990.74x = 4,230,569.52
  5. Step 5: Solve for x
    x = 4,230,569.52/1,990.74
  6. Step 6: Final answer
    x = 2,125.12

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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.