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Finding the Fourth Proportional to 2,281.98, 3,423.40 and 722.38

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Solution

The fourth proportional to 2,281.98, 3,423.40 and 722.38 is: 1,083.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,281.98 : 3,423.40 = 722.38 : x
  2. Step 2: Convert to fraction form
    2,281.98/3,423.40 = 722.38/x
  3. Step 3: Cross multiply
    2,281.98x = 3,423.40 × 722.38
  4. Step 4: Simplify right side
    2,281.98x = 2,472,983.52
  5. Step 5: Solve for x
    x = 2,472,983.52/2,281.98
  6. Step 6: Final answer
    x = 1,083.70

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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.