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Finding the Fourth Proportional to 2,600.56, 3,901.80 and 958.18

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Solution

The fourth proportional to 2,600.56, 3,901.80 and 958.18 is: 1,437.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,600.56 : 3,901.80 = 958.18 : x
  2. Step 2: Convert to fraction form
    2,600.56/3,901.80 = 958.18/x
  3. Step 3: Cross multiply
    2,600.56x = 3,901.80 × 958.18
  4. Step 4: Simplify right side
    2,600.56x = 3,738,626.72
  5. Step 5: Solve for x
    x = 3,738,626.72/2,600.56
  6. Step 6: Final answer
    x = 1,437.62

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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.