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Finding the Fourth Proportional to 2,256.96, 3,387.15 and 959.34

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Solution

The fourth proportional to 2,256.96, 3,387.15 and 959.34 is: 1,439.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,256.96 : 3,387.15 = 959.34 : x
  2. Step 2: Convert to fraction form
    2,256.96/3,387.15 = 959.34/x
  3. Step 3: Cross multiply
    2,256.96x = 3,387.15 × 959.34
  4. Step 4: Simplify right side
    2,256.96x = 3,249,428.48
  5. Step 5: Solve for x
    x = 3,249,428.48/2,256.96
  6. Step 6: Final answer
    x = 1,439.74

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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.