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Finding the Fourth Proportional to 2,184.68, 3,277.56 and 723.86

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Solution

The fourth proportional to 2,184.68, 3,277.56 and 723.86 is: 1,085.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,184.68 : 3,277.56 = 723.86 : x
  2. Step 2: Convert to fraction form
    2,184.68/3,277.56 = 723.86/x
  3. Step 3: Cross multiply
    2,184.68x = 3,277.56 × 723.86
  4. Step 4: Simplify right side
    2,184.68x = 2,372,494.58
  5. Step 5: Solve for x
    x = 2,372,494.58/2,184.68
  6. Step 6: Final answer
    x = 1,085.97

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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.