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Finding the Fourth Proportional to 1,973.92, 2,961.57 and 878.18

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Solution

The fourth proportional to 1,973.92, 2,961.57 and 878.18 is: 1,317.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,973.92 : 2,961.57 = 878.18 : x
  2. Step 2: Convert to fraction form
    1,973.92/2,961.57 = 878.18/x
  3. Step 3: Cross multiply
    1,973.92x = 2,961.57 × 878.18
  4. Step 4: Simplify right side
    1,973.92x = 2,600,791.54
  5. Step 5: Solve for x
    x = 2,600,791.54/1,973.92
  6. Step 6: Final answer
    x = 1,317.58

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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.