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Finding the Fourth Proportional to 3,121.47, 4,681.71 and 1,042.92

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Solution

The fourth proportional to 3,121.47, 4,681.71 and 1,042.92 is: 1,564.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,121.47 : 4,681.71 = 1,042.92 : x
  2. Step 2: Convert to fraction form
    3,121.47/4,681.71 = 1,042.92/x
  3. Step 3: Cross multiply
    3,121.47x = 4,681.71 × 1,042.92
  4. Step 4: Simplify right side
    3,121.47x = 4,882,648.99
  5. Step 5: Solve for x
    x = 4,882,648.99/3,121.47
  6. Step 6: Final answer
    x = 1,564.21

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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.