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Finding the Fourth Proportional to 2,777.03, 4,165.76 and 928.15

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Solution

The fourth proportional to 2,777.03, 4,165.76 and 928.15 is: 1,392.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,777.03 : 4,165.76 = 928.15 : x
  2. Step 2: Convert to fraction form
    2,777.03/4,165.76 = 928.15/x
  3. Step 3: Cross multiply
    2,777.03x = 4,165.76 × 928.15
  4. Step 4: Simplify right side
    2,777.03x = 3,866,442.05
  5. Step 5: Solve for x
    x = 3,866,442.05/2,777.03
  6. Step 6: Final answer
    x = 1,392.29

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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.