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Finding the Fourth Proportional to 2,687.69, 4,032.54 and 1,044.33

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Solution

The fourth proportional to 2,687.69, 4,032.54 and 1,044.33 is: 1,566.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,687.69 : 4,032.54 = 1,044.33 : x
  2. Step 2: Convert to fraction form
    2,687.69/4,032.54 = 1,044.33/x
  3. Step 3: Cross multiply
    2,687.69x = 4,032.54 × 1,044.33
  4. Step 4: Simplify right side
    2,687.69x = 4,211,302.50
  5. Step 5: Solve for x
    x = 4,211,302.50/2,687.69
  6. Step 6: Final answer
    x = 1,566.89

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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.