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Finding the Fourth Proportional to 4,616.10, 6,924.18 and 1,766.52

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Solution

The fourth proportional to 4,616.10, 6,924.18 and 1,766.52 is: 2,649.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,616.10 : 6,924.18 = 1,766.52 : x
  2. Step 2: Convert to fraction form
    4,616.10/6,924.18 = 1,766.52/x
  3. Step 3: Cross multiply
    4,616.10x = 6,924.18 × 1,766.52
  4. Step 4: Simplify right side
    4,616.10x = 12,231,702.45
  5. Step 5: Solve for x
    x = 12,231,702.45/4,616.10
  6. Step 6: Final answer
    x = 2,649.79

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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.