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Finding the Fourth Proportional to 4,461.42, 6,691.17 and 1,649.58

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Solution

The fourth proportional to 4,461.42, 6,691.17 and 1,649.58 is: 2,474.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,461.42 : 6,691.17 = 1,649.58 : x
  2. Step 2: Convert to fraction form
    4,461.42/6,691.17 = 1,649.58/x
  3. Step 3: Cross multiply
    4,461.42x = 6,691.17 × 1,649.58
  4. Step 4: Simplify right side
    4,461.42x = 11,037,620.21
  5. Step 5: Solve for x
    x = 11,037,620.21/4,461.42
  6. Step 6: Final answer
    x = 2,474.02

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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.