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Finding the Fourth Proportional to 1,439.09, 2,156.84 and 616.40

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Solution

The fourth proportional to 1,439.09, 2,156.84 and 616.40 is: 923.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,439.09 : 2,156.84 = 616.40 : x
  2. Step 2: Convert to fraction form
    1,439.09/2,156.84 = 616.40/x
  3. Step 3: Cross multiply
    1,439.09x = 2,156.84 × 616.40
  4. Step 4: Simplify right side
    1,439.09x = 1,329,478.49
  5. Step 5: Solve for x
    x = 1,329,478.49/1,439.09
  6. Step 6: Final answer
    x = 923.83

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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.