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Finding the Fourth Proportional to 1,600.56, 2,400.84 and 1,327.19

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Solution

The fourth proportional to 1,600.56, 2,400.84 and 1,327.19 is: 1,990.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,600.56 : 2,400.84 = 1,327.19 : x
  2. Step 2: Convert to fraction form
    1,600.56/2,400.84 = 1,327.19/x
  3. Step 3: Cross multiply
    1,600.56x = 2,400.84 × 1,327.19
  4. Step 4: Simplify right side
    1,600.56x = 3,186,358.84
  5. Step 5: Solve for x
    x = 3,186,358.84/1,600.56
  6. Step 6: Final answer
    x = 1,990.78

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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.