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Finding the Fourth Proportional to 3,115.08, 4,671.82 and 923.29

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Solution

The fourth proportional to 3,115.08, 4,671.82 and 923.29 is: 1,384.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,115.08 : 4,671.82 = 923.29 : x
  2. Step 2: Convert to fraction form
    3,115.08/4,671.82 = 923.29/x
  3. Step 3: Cross multiply
    3,115.08x = 4,671.82 × 923.29
  4. Step 4: Simplify right side
    3,115.08x = 4,313,444.69
  5. Step 5: Solve for x
    x = 4,313,444.69/3,115.08
  6. Step 6: Final answer
    x = 1,384.70

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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.