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Finding the Fourth Proportional to 2,255.42, 3,382.79 and 869.41

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Solution

The fourth proportional to 2,255.42, 3,382.79 and 869.41 is: 1,303.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,255.42 : 3,382.79 = 869.41 : x
  2. Step 2: Convert to fraction form
    2,255.42/3,382.79 = 869.41/x
  3. Step 3: Cross multiply
    2,255.42x = 3,382.79 × 869.41
  4. Step 4: Simplify right side
    2,255.42x = 2,941,024.27
  5. Step 5: Solve for x
    x = 2,941,024.27/2,255.42
  6. Step 6: Final answer
    x = 1,303.98

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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.