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Finding the Fourth Proportional to 1,874.16, 2,811.36 and 778.61

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Solution

The fourth proportional to 1,874.16, 2,811.36 and 778.61 is: 1,167.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,874.16 : 2,811.36 = 778.61 : x
  2. Step 2: Convert to fraction form
    1,874.16/2,811.36 = 778.61/x
  3. Step 3: Cross multiply
    1,874.16x = 2,811.36 × 778.61
  4. Step 4: Simplify right side
    1,874.16x = 2,188,953.01
  5. Step 5: Solve for x
    x = 2,188,953.01/1,874.16
  6. Step 6: Final answer
    x = 1,167.96

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.