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Finding the Fourth Proportional to 1,781.58, 2,672.29 and 549.11

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Solution

The fourth proportional to 1,781.58, 2,672.29 and 549.11 is: 823.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,781.58 : 2,672.29 = 549.11 : x
  2. Step 2: Convert to fraction form
    1,781.58/2,672.29 = 549.11/x
  3. Step 3: Cross multiply
    1,781.58x = 2,672.29 × 549.11
  4. Step 4: Simplify right side
    1,781.58x = 1,467,381.16
  5. Step 5: Solve for x
    x = 1,467,381.16/1,781.58
  6. Step 6: Final answer
    x = 823.64

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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.