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Finding the Fourth Proportional to 2,281.84, 3,423.27 and 721.93

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Solution

The fourth proportional to 2,281.84, 3,423.27 and 721.93 is: 1,083.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,281.84 : 3,423.27 = 721.93 : x
  2. Step 2: Convert to fraction form
    2,281.84/3,423.27 = 721.93/x
  3. Step 3: Cross multiply
    2,281.84x = 3,423.27 × 721.93
  4. Step 4: Simplify right side
    2,281.84x = 2,471,357.70
  5. Step 5: Solve for x
    x = 2,471,357.70/2,281.84
  6. Step 6: Final answer
    x = 1,083.06

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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.