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Finding the Fourth Proportional to 3,114.16, 4,672.15 and 922.94

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Solution

The fourth proportional to 3,114.16, 4,672.15 and 922.94 is: 1,384.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,114.16 : 4,672.15 = 922.94 : x
  2. Step 2: Convert to fraction form
    3,114.16/4,672.15 = 922.94/x
  3. Step 3: Cross multiply
    3,114.16x = 4,672.15 × 922.94
  4. Step 4: Simplify right side
    3,114.16x = 4,312,132.25
  5. Step 5: Solve for x
    x = 4,312,132.25/3,114.16
  6. Step 6: Final answer
    x = 1,384.68

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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.