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Finding the Fourth Proportional to 2,256.30, 3,385.71 and 957.42

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Solution

The fourth proportional to 2,256.30, 3,385.71 and 957.42 is: 1,436.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,256.30 : 3,385.71 = 957.42 : x
  2. Step 2: Convert to fraction form
    2,256.30/3,385.71 = 957.42/x
  3. Step 3: Cross multiply
    2,256.30x = 3,385.71 × 957.42
  4. Step 4: Simplify right side
    2,256.30x = 3,241,546.47
  5. Step 5: Solve for x
    x = 3,241,546.47/2,256.30
  6. Step 6: Final answer
    x = 1,436.66

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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.