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Finding the Fourth Proportional to 2,256.26, 3,382.56 and 869.33

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Solution

The fourth proportional to 2,256.26, 3,382.56 and 869.33 is: 1,303.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,256.26 : 3,382.56 = 869.33 : x
  2. Step 2: Convert to fraction form
    2,256.26/3,382.56 = 869.33/x
  3. Step 3: Cross multiply
    2,256.26x = 3,382.56 × 869.33
  4. Step 4: Simplify right side
    2,256.26x = 2,940,569.34
  5. Step 5: Solve for x
    x = 2,940,569.34/2,256.26
  6. Step 6: Final answer
    x = 1,303.30

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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.