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Finding the Fourth Proportional to 2,427.93, 3,641.49 and 696.42

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Solution

The fourth proportional to 2,427.93, 3,641.49 and 696.42 is: 1,044.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,427.93 : 3,641.49 = 696.42 : x
  2. Step 2: Convert to fraction form
    2,427.93/3,641.49 = 696.42/x
  3. Step 3: Cross multiply
    2,427.93x = 3,641.49 × 696.42
  4. Step 4: Simplify right side
    2,427.93x = 2,536,006.47
  5. Step 5: Solve for x
    x = 2,536,006.47/2,427.93
  6. Step 6: Final answer
    x = 1,044.51

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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.