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Finding the Fourth Proportional to 3,224.52, 4,449.90 and 1,897.74

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Solution

The fourth proportional to 3,224.52, 4,449.90 and 1,897.74 is: 2,618.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,224.52 : 4,449.90 = 1,897.74 : x
  2. Step 2: Convert to fraction form
    3,224.52/4,449.90 = 1,897.74/x
  3. Step 3: Cross multiply
    3,224.52x = 4,449.90 × 1,897.74
  4. Step 4: Simplify right side
    3,224.52x = 8,444,753.23
  5. Step 5: Solve for x
    x = 8,444,753.23/3,224.52
  6. Step 6: Final answer
    x = 2,618.92

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.