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Finding the Fourth Proportional to 2,439.96, 3,657.75 and 878.88

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Solution

The fourth proportional to 2,439.96, 3,657.75 and 878.88 is: 1,317.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,439.96 : 3,657.75 = 878.88 : x
  2. Step 2: Convert to fraction form
    2,439.96/3,657.75 = 878.88/x
  3. Step 3: Cross multiply
    2,439.96x = 3,657.75 × 878.88
  4. Step 4: Simplify right side
    2,439.96x = 3,214,723.32
  5. Step 5: Solve for x
    x = 3,214,723.32/2,439.96
  6. Step 6: Final answer
    x = 1,317.53

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1.5x scale

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.