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Finding the Fourth Proportional to 2,184.17, 3,275.19 and 722.83

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Solution

The fourth proportional to 2,184.17, 3,275.19 and 722.83 is: 1,083.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,184.17 : 3,275.19 = 722.83 : x
  2. Step 2: Convert to fraction form
    2,184.17/3,275.19 = 722.83/x
  3. Step 3: Cross multiply
    2,184.17x = 3,275.19 × 722.83
  4. Step 4: Simplify right side
    2,184.17x = 2,367,405.59
  5. Step 5: Solve for x
    x = 2,367,405.59/2,184.17
  6. Step 6: Final answer
    x = 1,083.89

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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.