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Finding the Fourth Proportional to 2,600.56, 3,901.05 and 869.19

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Solution

The fourth proportional to 2,600.56, 3,901.05 and 869.19 is: 1,303.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,600.56 : 3,901.05 = 869.19 : x
  2. Step 2: Convert to fraction form
    2,600.56/3,901.05 = 869.19/x
  3. Step 3: Cross multiply
    2,600.56x = 3,901.05 × 869.19
  4. Step 4: Simplify right side
    2,600.56x = 3,390,753.65
  5. Step 5: Solve for x
    x = 3,390,753.65/2,600.56
  6. Step 6: Final answer
    x = 1,303.86

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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.