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Finding the Fourth Proportional to 2,302.92, 3,451.64 and 1,327

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Solution

The fourth proportional to 2,302.92, 3,451.64 and 1,327 is: 1,988.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,302.92 : 3,451.64 = 1,327 : x
  2. Step 2: Convert to fraction form
    2,302.92/3,451.64 = 1,327/x
  3. Step 3: Cross multiply
    2,302.92x = 3,451.64 × 1,327
  4. Step 4: Simplify right side
    2,302.92x = 4,580,326.28
  5. Step 5: Solve for x
    x = 4,580,326.28/2,302.92
  6. Step 6: Final answer
    x = 1,988.92

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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.