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Finding the Fourth Proportional to 2,822.67, 4,229.97 and 1,587.50

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Solution

The fourth proportional to 2,822.67, 4,229.97 and 1,587.50 is: 2,378.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,822.67 : 4,229.97 = 1,587.50 : x
  2. Step 2: Convert to fraction form
    2,822.67/4,229.97 = 1,587.50/x
  3. Step 3: Cross multiply
    2,822.67x = 4,229.97 × 1,587.50
  4. Step 4: Simplify right side
    2,822.67x = 6,715,056.23
  5. Step 5: Solve for x
    x = 6,715,056.23/2,822.67
  6. Step 6: Final answer
    x = 2,378.97

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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.