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Finding the Fourth Proportional to 1,600.12, 2,207.90 and 891.81

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Solution

The fourth proportional to 1,600.12, 2,207.90 and 891.81 is: 1,230.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,600.12 : 2,207.90 = 891.81 : x
  2. Step 2: Convert to fraction form
    1,600.12/2,207.90 = 891.81/x
  3. Step 3: Cross multiply
    1,600.12x = 2,207.90 × 891.81
  4. Step 4: Simplify right side
    1,600.12x = 1,969,024.11
  5. Step 5: Solve for x
    x = 1,969,024.11/1,600.12
  6. Step 6: Final answer
    x = 1,230.55

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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.