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Finding the Fourth Proportional to 2,098.74, 3,148.12 and 1,002.86

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Solution

The fourth proportional to 2,098.74, 3,148.12 and 1,002.86 is: 1,504.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,098.74 : 3,148.12 = 1,002.86 : x
  2. Step 2: Convert to fraction form
    2,098.74/3,148.12 = 1,002.86/x
  3. Step 3: Cross multiply
    2,098.74x = 3,148.12 × 1,002.86
  4. Step 4: Simplify right side
    2,098.74x = 3,157,120.94
  5. Step 5: Solve for x
    x = 3,157,120.94/2,098.74
  6. Step 6: Final answer
    x = 1,504.29

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.