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Finding the Fourth Proportional to 3,098.60, 4,637.10 and 2,126.60

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Solution

The fourth proportional to 3,098.60, 4,637.10 and 2,126.60 is: 3,182.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,098.60 : 4,637.10 = 2,126.60 : x
  2. Step 2: Convert to fraction form
    3,098.60/4,637.10 = 2,126.60/x
  3. Step 3: Cross multiply
    3,098.60x = 4,637.10 × 2,126.60
  4. Step 4: Simplify right side
    3,098.60x = 9,861,256.86
  5. Step 5: Solve for x
    x = 9,861,256.86/3,098.60
  6. Step 6: Final answer
    x = 3,182.49

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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.