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Finding the Fourth Proportional to 2,745.60, 4,117.03 and 896.47

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Solution

The fourth proportional to 2,745.60, 4,117.03 and 896.47 is: 1,344.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,745.60 : 4,117.03 = 896.47 : x
  2. Step 2: Convert to fraction form
    2,745.60/4,117.03 = 896.47/x
  3. Step 3: Cross multiply
    2,745.60x = 4,117.03 × 896.47
  4. Step 4: Simplify right side
    2,745.60x = 3,690,781.35
  5. Step 5: Solve for x
    x = 3,690,781.35/2,745.60
  6. Step 6: Final answer
    x = 1,344.25

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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.