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Finding the Fourth Proportional to 2,282.56, 3,423.88 and 722.50

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Solution

The fourth proportional to 2,282.56, 3,423.88 and 722.50 is: 1,083.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,282.56 : 3,423.88 = 722.50 : x
  2. Step 2: Convert to fraction form
    2,282.56/3,423.88 = 722.50/x
  3. Step 3: Cross multiply
    2,282.56x = 3,423.88 × 722.50
  4. Step 4: Simplify right side
    2,282.56x = 2,473,753.30
  5. Step 5: Solve for x
    x = 2,473,753.30/2,282.56
  6. Step 6: Final answer
    x = 1,083.76

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.