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Finding the Fourth Proportional to 3,098.53, 4,648.61 and 1,711.63

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Solution

The fourth proportional to 3,098.53, 4,648.61 and 1,711.63 is: 2,567.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,098.53 : 4,648.61 = 1,711.63 : x
  2. Step 2: Convert to fraction form
    3,098.53/4,648.61 = 1,711.63/x
  3. Step 3: Cross multiply
    3,098.53x = 4,648.61 × 1,711.63
  4. Step 4: Simplify right side
    3,098.53x = 7,956,700.33
  5. Step 5: Solve for x
    x = 7,956,700.33/3,098.53
  6. Step 6: Final answer
    x = 2,567.90

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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.