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Finding the Fourth Proportional to 1,874.16, 2,811.12 and 778.56

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Solution

The fourth proportional to 1,874.16, 2,811.12 and 778.56 is: 1,167.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,874.16 : 2,811.12 = 778.56 : x
  2. Step 2: Convert to fraction form
    1,874.16/2,811.12 = 778.56/x
  3. Step 3: Cross multiply
    1,874.16x = 2,811.12 × 778.56
  4. Step 4: Simplify right side
    1,874.16x = 2,188,625.59
  5. Step 5: Solve for x
    x = 2,188,625.59/1,874.16
  6. Step 6: Final answer
    x = 1,167.79

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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.