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Finding the Fourth Proportional to 3,114.97, 4,672.59 and 923.65

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Solution

The fourth proportional to 3,114.97, 4,672.59 and 923.65 is: 1,385.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,114.97 : 4,672.59 = 923.65 : x
  2. Step 2: Convert to fraction form
    3,114.97/4,672.59 = 923.65/x
  3. Step 3: Cross multiply
    3,114.97x = 4,672.59 × 923.65
  4. Step 4: Simplify right side
    3,114.97x = 4,315,837.75
  5. Step 5: Solve for x
    x = 4,315,837.75/3,114.97
  6. Step 6: Final answer
    x = 1,385.52

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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.