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Finding the Fourth Proportional to 2,154.76, 3,233.18 and 922.52

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Solution

The fourth proportional to 2,154.76, 3,233.18 and 922.52 is: 1,384.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,154.76 : 3,233.18 = 922.52 : x
  2. Step 2: Convert to fraction form
    2,154.76/3,233.18 = 922.52/x
  3. Step 3: Cross multiply
    2,154.76x = 3,233.18 × 922.52
  4. Step 4: Simplify right side
    2,154.76x = 2,982,673.21
  5. Step 5: Solve for x
    x = 2,982,673.21/2,154.76
  6. Step 6: Final answer
    x = 1,384.23

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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.