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Finding the Fourth Proportional to 2,128.68, 3,188.02 and 1,637.80

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Solution

The fourth proportional to 2,128.68, 3,188.02 and 1,637.80 is: 2,452.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,128.68 : 3,188.02 = 1,637.80 : x
  2. Step 2: Convert to fraction form
    2,128.68/3,188.02 = 1,637.80/x
  3. Step 3: Cross multiply
    2,128.68x = 3,188.02 × 1,637.80
  4. Step 4: Simplify right side
    2,128.68x = 5,221,339.16
  5. Step 5: Solve for x
    x = 5,221,339.16/2,128.68
  6. Step 6: Final answer
    x = 2,452.85

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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.