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Finding the Fourth Proportional to 1,600.77, 2,398.46 and 1,014.33

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Solution

The fourth proportional to 1,600.77, 2,398.46 and 1,014.33 is: 1,519.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,600.77 : 2,398.46 = 1,014.33 : x
  2. Step 2: Convert to fraction form
    1,600.77/2,398.46 = 1,014.33/x
  3. Step 3: Cross multiply
    1,600.77x = 2,398.46 × 1,014.33
  4. Step 4: Simplify right side
    1,600.77x = 2,432,824.86
  5. Step 5: Solve for x
    x = 2,432,824.86/1,600.77
  6. Step 6: Final answer
    x = 1,519.78

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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.