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Finding the Fourth Proportional to 1,512.56, 2,269.15 and 896.72

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Solution

The fourth proportional to 1,512.56, 2,269.15 and 896.72 is: 1,345.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,512.56 : 2,269.15 = 896.72 : x
  2. Step 2: Convert to fraction form
    1,512.56/2,269.15 = 896.72/x
  3. Step 3: Cross multiply
    1,512.56x = 2,269.15 × 896.72
  4. Step 4: Simplify right side
    1,512.56x = 2,034,778.60
  5. Step 5: Solve for x
    x = 2,034,778.60/1,512.56
  6. Step 6: Final answer
    x = 1,345.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.