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Finding the Fourth Proportional to 3,114.43, 4,671.68 and 923.17

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Solution

The fourth proportional to 3,114.43, 4,671.68 and 923.17 is: 1,384.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,114.43 : 4,671.68 = 923.17 : x
  2. Step 2: Convert to fraction form
    3,114.43/4,671.68 = 923.17/x
  3. Step 3: Cross multiply
    3,114.43x = 4,671.68 × 923.17
  4. Step 4: Simplify right side
    3,114.43x = 4,312,754.83
  5. Step 5: Solve for x
    x = 4,312,754.83/3,114.43
  6. Step 6: Final answer
    x = 1,384.77

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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.