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Finding the Fourth Proportional to 2,253.92, 3,381.40 and 793.08

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Solution

The fourth proportional to 2,253.92, 3,381.40 and 793.08 is: 1,189.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,253.92 : 3,381.40 = 793.08 : x
  2. Step 2: Convert to fraction form
    2,253.92/3,381.40 = 793.08/x
  3. Step 3: Cross multiply
    2,253.92x = 3,381.40 × 793.08
  4. Step 4: Simplify right side
    2,253.92x = 2,681,720.71
  5. Step 5: Solve for x
    x = 2,681,720.71/2,253.92
  6. Step 6: Final answer
    x = 1,189.80

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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.