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Finding the Fourth Proportional to 2,339.44, 3,509.56 and 878.80

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Solution

The fourth proportional to 2,339.44, 3,509.56 and 878.80 is: 1,318.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,339.44 : 3,509.56 = 878.80 : x
  2. Step 2: Convert to fraction form
    2,339.44/3,509.56 = 878.80/x
  3. Step 3: Cross multiply
    2,339.44x = 3,509.56 × 878.80
  4. Step 4: Simplify right side
    2,339.44x = 3,084,201.33
  5. Step 5: Solve for x
    x = 3,084,201.33/2,339.44
  6. Step 6: Final answer
    x = 1,318.35

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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.