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Finding the Fourth Proportional to 4,098.59, 6,143.07 and 1,902.69

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Solution

The fourth proportional to 4,098.59, 6,143.07 and 1,902.69 is: 2,851.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,098.59 : 6,143.07 = 1,902.69 : x
  2. Step 2: Convert to fraction form
    4,098.59/6,143.07 = 1,902.69/x
  3. Step 3: Cross multiply
    4,098.59x = 6,143.07 × 1,902.69
  4. Step 4: Simplify right side
    4,098.59x = 11,688,357.86
  5. Step 5: Solve for x
    x = 11,688,357.86/4,098.59
  6. Step 6: Final answer
    x = 2,851.80

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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.