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Finding the Fourth Proportional to 3,099.98, 4,646.01 and 1,452.90

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Solution

The fourth proportional to 3,099.98, 4,646.01 and 1,452.90 is: 2,177.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,099.98 : 4,646.01 = 1,452.90 : x
  2. Step 2: Convert to fraction form
    3,099.98/4,646.01 = 1,452.90/x
  3. Step 3: Cross multiply
    3,099.98x = 4,646.01 × 1,452.90
  4. Step 4: Simplify right side
    3,099.98x = 6,750,175.95
  5. Step 5: Solve for x
    x = 6,750,175.95/3,099.98
  6. Step 6: Final answer
    x = 2,177.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.