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Finding the Fourth Proportional to 3,100.16, 4,646.14 and 1,454.44

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Solution

The fourth proportional to 3,100.16, 4,646.14 and 1,454.44 is: 2,179.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,100.16 : 4,646.14 = 1,454.44 : x
  2. Step 2: Convert to fraction form
    3,100.16/4,646.14 = 1,454.44/x
  3. Step 3: Cross multiply
    3,100.16x = 4,646.14 × 1,454.44
  4. Step 4: Simplify right side
    3,100.16x = 6,757,531.86
  5. Step 5: Solve for x
    x = 6,757,531.86/3,100.16
  6. Step 6: Final answer
    x = 2,179.74

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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.