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Finding the Fourth Proportional to 2,777.40, 4,166.16 and 928.44

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Solution

The fourth proportional to 2,777.40, 4,166.16 and 928.44 is: 1,392.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,777.40 : 4,166.16 = 928.44 : x
  2. Step 2: Convert to fraction form
    2,777.40/4,166.16 = 928.44/x
  3. Step 3: Cross multiply
    2,777.40x = 4,166.16 × 928.44
  4. Step 4: Simplify right side
    2,777.40x = 3,868,029.59
  5. Step 5: Solve for x
    x = 3,868,029.59/2,777.40
  6. Step 6: Final answer
    x = 1,392.68

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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.