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Finding the Fourth Proportional to 2,959.18, 4,083.64 and 1,632.89

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Solution

The fourth proportional to 2,959.18, 4,083.64 and 1,632.89 is: 2,253.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,959.18 : 4,083.64 = 1,632.89 : x
  2. Step 2: Convert to fraction form
    2,959.18/4,083.64 = 1,632.89/x
  3. Step 3: Cross multiply
    2,959.18x = 4,083.64 × 1,632.89
  4. Step 4: Simplify right side
    2,959.18x = 6,668,141.05
  5. Step 5: Solve for x
    x = 6,668,141.05/2,959.18
  6. Step 6: Final answer
    x = 2,253.38

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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.