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Finding the Fourth Proportional to 2,125.98, 3,188.70 and 1,028.70

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Solution

The fourth proportional to 2,125.98, 3,188.70 and 1,028.70 is: 1,542.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,125.98 : 3,188.70 = 1,028.70 : x
  2. Step 2: Convert to fraction form
    2,125.98/3,188.70 = 1,028.70/x
  3. Step 3: Cross multiply
    2,125.98x = 3,188.70 × 1,028.70
  4. Step 4: Simplify right side
    2,125.98x = 3,280,215.69
  5. Step 5: Solve for x
    x = 3,280,215.69/2,125.98
  6. Step 6: Final answer
    x = 1,542.92

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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.