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Finding the Fourth Proportional to 4,180.56, 6,263.02 and 2,098.12

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Solution

The fourth proportional to 4,180.56, 6,263.02 and 2,098.12 is: 3,143.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,180.56 : 6,263.02 = 2,098.12 : x
  2. Step 2: Convert to fraction form
    4,180.56/6,263.02 = 2,098.12/x
  3. Step 3: Cross multiply
    4,180.56x = 6,263.02 × 2,098.12
  4. Step 4: Simplify right side
    4,180.56x = 13,140,567.52
  5. Step 5: Solve for x
    x = 13,140,567.52/4,180.56
  6. Step 6: Final answer
    x = 3,143.26

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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.