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Finding the Fourth Proportional to 3,114.80, 4,672.87 and 923.68

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Solution

The fourth proportional to 3,114.80, 4,672.87 and 923.68 is: 1,385.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,114.80 : 4,672.87 = 923.68 : x
  2. Step 2: Convert to fraction form
    3,114.80/4,672.87 = 923.68/x
  3. Step 3: Cross multiply
    3,114.80x = 4,672.87 × 923.68
  4. Step 4: Simplify right side
    3,114.80x = 4,316,236.56
  5. Step 5: Solve for x
    x = 4,316,236.56/3,114.80
  6. Step 6: Final answer
    x = 1,385.72

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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.