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Finding the Fourth Proportional to 2,777.20, 4,166.01 and 928.32

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Solution

The fourth proportional to 2,777.20, 4,166.01 and 928.32 is: 1,392.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,777.20 : 4,166.01 = 928.32 : x
  2. Step 2: Convert to fraction form
    2,777.20/4,166.01 = 928.32/x
  3. Step 3: Cross multiply
    2,777.20x = 4,166.01 × 928.32
  4. Step 4: Simplify right side
    2,777.20x = 3,867,364.93
  5. Step 5: Solve for x
    x = 3,867,364.93/2,777.20
  6. Step 6: Final answer
    x = 1,392.54

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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.