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Finding the Fourth Proportional to 2,547.23, 3,820.97 and 793.43

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Solution

The fourth proportional to 2,547.23, 3,820.97 and 793.43 is: 1,190.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,547.23 : 3,820.97 = 793.43 : x
  2. Step 2: Convert to fraction form
    2,547.23/3,820.97 = 793.43/x
  3. Step 3: Cross multiply
    2,547.23x = 3,820.97 × 793.43
  4. Step 4: Simplify right side
    2,547.23x = 3,031,672.23
  5. Step 5: Solve for x
    x = 3,031,672.23/2,547.23
  6. Step 6: Final answer
    x = 1,190.18

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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.