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Finding the Fourth Proportional to 1,438.85, 2,156.46 and 616.16

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Solution

The fourth proportional to 1,438.85, 2,156.46 and 616.16 is: 923.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,438.85 : 2,156.46 = 616.16 : x
  2. Step 2: Convert to fraction form
    1,438.85/2,156.46 = 616.16/x
  3. Step 3: Cross multiply
    1,438.85x = 2,156.46 × 616.16
  4. Step 4: Simplify right side
    1,438.85x = 1,328,713.61
  5. Step 5: Solve for x
    x = 1,328,713.61/1,438.85
  6. Step 6: Final answer
    x = 923.46

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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.