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Finding the Fourth Proportional to 2,184.68, 3,277.02 and 723.44

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Solution

The fourth proportional to 2,184.68, 3,277.02 and 723.44 is: 1,085.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,184.68 : 3,277.02 = 723.44 : x
  2. Step 2: Convert to fraction form
    2,184.68/3,277.02 = 723.44/x
  3. Step 3: Cross multiply
    2,184.68x = 3,277.02 × 723.44
  4. Step 4: Simplify right side
    2,184.68x = 2,370,727.35
  5. Step 5: Solve for x
    x = 2,370,727.35/2,184.68
  6. Step 6: Final answer
    x = 1,085.16

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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.