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Finding the Fourth Proportional to 2,256.56, 3,385.76 and 1,217.84

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Solution

The fourth proportional to 2,256.56, 3,385.76 and 1,217.84 is: 1,827.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,256.56 : 3,385.76 = 1,217.84 : x
  2. Step 2: Convert to fraction form
    2,256.56/3,385.76 = 1,217.84/x
  3. Step 3: Cross multiply
    2,256.56x = 3,385.76 × 1,217.84
  4. Step 4: Simplify right side
    2,256.56x = 4,123,313.96
  5. Step 5: Solve for x
    x = 4,123,313.96/2,256.56
  6. Step 6: Final answer
    x = 1,827.26

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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.