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Finding the Fourth Proportional to 2,184.72, 3,277.14 and 723.90

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Solution

The fourth proportional to 2,184.72, 3,277.14 and 723.90 is: 1,085.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,184.72 : 3,277.14 = 723.90 : x
  2. Step 2: Convert to fraction form
    2,184.72/3,277.14 = 723.90/x
  3. Step 3: Cross multiply
    2,184.72x = 3,277.14 × 723.90
  4. Step 4: Simplify right side
    2,184.72x = 2,372,321.65
  5. Step 5: Solve for x
    x = 2,372,321.65/2,184.72
  6. Step 6: Final answer
    x = 1,085.87

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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.