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Finding the Fourth Proportional to 2,256.66, 3,382.41 and 957.42

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Solution

The fourth proportional to 2,256.66, 3,382.41 and 957.42 is: 1,435.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,256.66 : 3,382.41 = 957.42 : x
  2. Step 2: Convert to fraction form
    2,256.66/3,382.41 = 957.42/x
  3. Step 3: Cross multiply
    2,256.66x = 3,382.41 × 957.42
  4. Step 4: Simplify right side
    2,256.66x = 3,238,386.98
  5. Step 5: Solve for x
    x = 3,238,386.98/2,256.66
  6. Step 6: Final answer
    x = 1,435.04

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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.