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Finding the Fourth Proportional to 2,176.18, 3,264.46 and 616.20

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Solution

The fourth proportional to 2,176.18, 3,264.46 and 616.20 is: 924.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,176.18 : 3,264.46 = 616.20 : x
  2. Step 2: Convert to fraction form
    2,176.18/3,264.46 = 616.20/x
  3. Step 3: Cross multiply
    2,176.18x = 3,264.46 × 616.20
  4. Step 4: Simplify right side
    2,176.18x = 2,011,560.25
  5. Step 5: Solve for x
    x = 2,011,560.25/2,176.18
  6. Step 6: Final answer
    x = 924.35

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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.