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Finding the Fourth Proportional to 1,948.15, 2,922.27 and 778.69

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Solution

The fourth proportional to 1,948.15, 2,922.27 and 778.69 is: 1,168.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,948.15 : 2,922.27 = 778.69 : x
  2. Step 2: Convert to fraction form
    1,948.15/2,922.27 = 778.69/x
  3. Step 3: Cross multiply
    1,948.15x = 2,922.27 × 778.69
  4. Step 4: Simplify right side
    1,948.15x = 2,275,542.43
  5. Step 5: Solve for x
    x = 2,275,542.43/1,948.15
  6. Step 6: Final answer
    x = 1,168.05

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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.