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Finding the Fourth Proportional to 2,777.30, 4,165.98 and 928.43

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Solution

The fourth proportional to 2,777.30, 4,165.98 and 928.43 is: 1,392.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,777.30 : 4,165.98 = 928.43 : x
  2. Step 2: Convert to fraction form
    2,777.30/4,165.98 = 928.43/x
  3. Step 3: Cross multiply
    2,777.30x = 4,165.98 × 928.43
  4. Step 4: Simplify right side
    2,777.30x = 3,867,820.81
  5. Step 5: Solve for x
    x = 3,867,820.81/2,777.30
  6. Step 6: Final answer
    x = 1,392.66

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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.