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Finding the Fourth Proportional to 2,747.15, 4,114.65 and 2,261.15

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Solution

The fourth proportional to 2,747.15, 4,114.65 and 2,261.15 is: 3,386.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,747.15 : 4,114.65 = 2,261.15 : x
  2. Step 2: Convert to fraction form
    2,747.15/4,114.65 = 2,261.15/x
  3. Step 3: Cross multiply
    2,747.15x = 4,114.65 × 2,261.15
  4. Step 4: Simplify right side
    2,747.15x = 9,303,840.85
  5. Step 5: Solve for x
    x = 9,303,840.85/2,747.15
  6. Step 6: Final answer
    x = 3,386.72

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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.