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Finding the Fourth Proportional to 2,489.12, 3,432.48 and 1,556

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Solution

The fourth proportional to 2,489.12, 3,432.48 and 1,556 is: 2,145.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,489.12 : 3,432.48 = 1,556 : x
  2. Step 2: Convert to fraction form
    2,489.12/3,432.48 = 1,556/x
  3. Step 3: Cross multiply
    2,489.12x = 3,432.48 × 1,556
  4. Step 4: Simplify right side
    2,489.12x = 5,340,938.88
  5. Step 5: Solve for x
    x = 5,340,938.88/2,489.12
  6. Step 6: Final answer
    x = 2,145.71

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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.