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Finding the Fourth Proportional to 2,959.22, 4,083.68 and 1,632.92

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Solution

The fourth proportional to 2,959.22, 4,083.68 and 1,632.92 is: 2,253.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,959.22 : 4,083.68 = 1,632.92 : x
  2. Step 2: Convert to fraction form
    2,959.22/4,083.68 = 1,632.92/x
  3. Step 3: Cross multiply
    2,959.22x = 4,083.68 × 1,632.92
  4. Step 4: Simplify right side
    2,959.22x = 6,668,306.41
  5. Step 5: Solve for x
    x = 6,668,306.41/2,959.22
  6. Step 6: Final answer
    x = 2,253.40

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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.