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Finding the Fourth Proportional to 3,098.55, 4,649.41 and 2,059.26

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Solution

The fourth proportional to 3,098.55, 4,649.41 and 2,059.26 is: 3,089.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,098.55 : 4,649.41 = 2,059.26 : x
  2. Step 2: Convert to fraction form
    3,098.55/4,649.41 = 2,059.26/x
  3. Step 3: Cross multiply
    3,098.55x = 4,649.41 × 2,059.26
  4. Step 4: Simplify right side
    3,098.55x = 9,574,344.04
  5. Step 5: Solve for x
    x = 9,574,344.04/3,098.55
  6. Step 6: Final answer
    x = 3,089.95

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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.