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Finding the Fourth Proportional to 2,125.86, 3,190.68 and 1,139.49

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Solution

The fourth proportional to 2,125.86, 3,190.68 and 1,139.49 is: 1,710.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,125.86 : 3,190.68 = 1,139.49 : x
  2. Step 2: Convert to fraction form
    2,125.86/3,190.68 = 1,139.49/x
  3. Step 3: Cross multiply
    2,125.86x = 3,190.68 × 1,139.49
  4. Step 4: Simplify right side
    2,125.86x = 3,635,747.95
  5. Step 5: Solve for x
    x = 3,635,747.95/2,125.86
  6. Step 6: Final answer
    x = 1,710.25

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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.