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Finding the Fourth Proportional to 3,114.53, 4,672.47 and 923.12

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Solution

The fourth proportional to 3,114.53, 4,672.47 and 923.12 is: 1,384.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,114.53 : 4,672.47 = 923.12 : x
  2. Step 2: Convert to fraction form
    3,114.53/4,672.47 = 923.12/x
  3. Step 3: Cross multiply
    3,114.53x = 4,672.47 × 923.12
  4. Step 4: Simplify right side
    3,114.53x = 4,313,250.51
  5. Step 5: Solve for x
    x = 4,313,250.51/3,114.53
  6. Step 6: Final answer
    x = 1,384.88

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.