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Finding the Fourth Proportional to 1,781.90, 2,672.51 and 549.12

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Solution

The fourth proportional to 1,781.90, 2,672.51 and 549.12 is: 823.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,781.90 : 2,672.51 = 549.12 : x
  2. Step 2: Convert to fraction form
    1,781.90/2,672.51 = 549.12/x
  3. Step 3: Cross multiply
    1,781.90x = 2,672.51 × 549.12
  4. Step 4: Simplify right side
    1,781.90x = 1,467,525.95
  5. Step 5: Solve for x
    x = 1,467,525.95/1,781.90
  6. Step 6: Final answer
    x = 823.58

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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.