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Finding the Fourth Proportional to 2,772.03, 4,154.91 and 922.71

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Solution

The fourth proportional to 2,772.03, 4,154.91 and 922.71 is: 1,383.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,772.03 : 4,154.91 = 922.71 : x
  2. Step 2: Convert to fraction form
    2,772.03/4,154.91 = 922.71/x
  3. Step 3: Cross multiply
    2,772.03x = 4,154.91 × 922.71
  4. Step 4: Simplify right side
    2,772.03x = 3,833,777.01
  5. Step 5: Solve for x
    x = 3,833,777.01/2,772.03
  6. Step 6: Final answer
    x = 1,383.02

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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.