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Finding the Fourth Proportional to 1,781.34, 2,672.16 and 482.82

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Solution

The fourth proportional to 1,781.34, 2,672.16 and 482.82 is: 724.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,781.34 : 2,672.16 = 482.82 : x
  2. Step 2: Convert to fraction form
    1,781.34/2,672.16 = 482.82/x
  3. Step 3: Cross multiply
    1,781.34x = 2,672.16 × 482.82
  4. Step 4: Simplify right side
    1,781.34x = 1,290,172.29
  5. Step 5: Solve for x
    x = 1,290,172.29/1,781.34
  6. Step 6: Final answer
    x = 724.27

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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.