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Finding the Fourth Proportional to 2,600.86, 3,901.43 and 1,301.89

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Solution

The fourth proportional to 2,600.86, 3,901.43 and 1,301.89 is: 1,952.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,600.86 : 3,901.43 = 1,301.89 : x
  2. Step 2: Convert to fraction form
    2,600.86/3,901.43 = 1,301.89/x
  3. Step 3: Cross multiply
    2,600.86x = 3,901.43 × 1,301.89
  4. Step 4: Simplify right side
    2,600.86x = 5,079,232.70
  5. Step 5: Solve for x
    x = 5,079,232.70/2,600.86
  6. Step 6: Final answer
    x = 1,952.91

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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.