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Finding the Fourth Proportional to 2,981.47, 4,452.12 and 2,434.72

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Solution

The fourth proportional to 2,981.47, 4,452.12 and 2,434.72 is: 3,635.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,981.47 : 4,452.12 = 2,434.72 : x
  2. Step 2: Convert to fraction form
    2,981.47/4,452.12 = 2,434.72/x
  3. Step 3: Cross multiply
    2,981.47x = 4,452.12 × 2,434.72
  4. Step 4: Simplify right side
    2,981.47x = 10,839,665.61
  5. Step 5: Solve for x
    x = 10,839,665.61/2,981.47
  6. Step 6: Final answer
    x = 3,635.68

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.