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Finding the Fourth Proportional to 3,098.64, 4,649.25 and 1,711.85

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Solution

The fourth proportional to 3,098.64, 4,649.25 and 1,711.85 is: 2,568.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,098.64 : 4,649.25 = 1,711.85 : x
  2. Step 2: Convert to fraction form
    3,098.64/4,649.25 = 1,711.85/x
  3. Step 3: Cross multiply
    3,098.64x = 4,649.25 × 1,711.85
  4. Step 4: Simplify right side
    3,098.64x = 7,958,810.05
  5. Step 5: Solve for x
    x = 7,958,810.05/3,098.64
  6. Step 6: Final answer
    x = 2,568.48

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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.