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Finding the Fourth Proportional to 2,184.44, 3,275.58 and 723.56

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Solution

The fourth proportional to 2,184.44, 3,275.58 and 723.56 is: 1,084.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,184.44 : 3,275.58 = 723.56 : x
  2. Step 2: Convert to fraction form
    2,184.44/3,275.58 = 723.56/x
  3. Step 3: Cross multiply
    2,184.44x = 3,275.58 × 723.56
  4. Step 4: Simplify right side
    2,184.44x = 2,370,078.66
  5. Step 5: Solve for x
    x = 2,370,078.66/2,184.44
  6. Step 6: Final answer
    x = 1,084.98

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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.