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Finding the Fourth Proportional to 2,778.68, 4,165.34 and 928.76

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Solution

The fourth proportional to 2,778.68, 4,165.34 and 928.76 is: 1,392.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,778.68 : 4,165.34 = 928.76 : x
  2. Step 2: Convert to fraction form
    2,778.68/4,165.34 = 928.76/x
  3. Step 3: Cross multiply
    2,778.68x = 4,165.34 × 928.76
  4. Step 4: Simplify right side
    2,778.68x = 3,868,596.53
  5. Step 5: Solve for x
    x = 3,868,596.53/2,778.68
  6. Step 6: Final answer
    x = 1,392.25

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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.