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Finding the Fourth Proportional to 2,891.78, 3,990.67 and 1,632.89

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Solution

The fourth proportional to 2,891.78, 3,990.67 and 1,632.89 is: 2,253.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,891.78 : 3,990.67 = 1,632.89 : x
  2. Step 2: Convert to fraction form
    2,891.78/3,990.67 = 1,632.89/x
  3. Step 3: Cross multiply
    2,891.78x = 3,990.67 × 1,632.89
  4. Step 4: Simplify right side
    2,891.78x = 6,516,301.10
  5. Step 5: Solve for x
    x = 6,516,301.10/2,891.78
  6. Step 6: Final answer
    x = 2,253.39

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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.