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Finding the Fourth Proportional to 1,781.93, 2,672.97 and 549.47

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Solution

The fourth proportional to 1,781.93, 2,672.97 and 549.47 is: 824.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,781.93 : 2,672.97 = 549.47 : x
  2. Step 2: Convert to fraction form
    1,781.93/2,672.97 = 549.47/x
  3. Step 3: Cross multiply
    1,781.93x = 2,672.97 × 549.47
  4. Step 4: Simplify right side
    1,781.93x = 1,468,703.46
  5. Step 5: Solve for x
    x = 1,468,703.46/1,781.93
  6. Step 6: Final answer
    x = 824.22

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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.