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Finding the Fourth Proportional to 3,255.12, 4,881.60 and 914.52

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Solution

The fourth proportional to 3,255.12, 4,881.60 and 914.52 is: 1,371.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,255.12 : 4,881.60 = 914.52 : x
  2. Step 2: Convert to fraction form
    3,255.12/4,881.60 = 914.52/x
  3. Step 3: Cross multiply
    3,255.12x = 4,881.60 × 914.52
  4. Step 4: Simplify right side
    3,255.12x = 4,464,320.83
  5. Step 5: Solve for x
    x = 4,464,320.83/3,255.12
  6. Step 6: Final answer
    x = 1,371.48

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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.