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Finding the Fourth Proportional to 1,781.62, 2,673.84 and 1,051.80

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Solution

The fourth proportional to 1,781.62, 2,673.84 and 1,051.80 is: 1,578.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,781.62 : 2,673.84 = 1,051.80 : x
  2. Step 2: Convert to fraction form
    1,781.62/2,673.84 = 1,051.80/x
  3. Step 3: Cross multiply
    1,781.62x = 2,673.84 × 1,051.80
  4. Step 4: Simplify right side
    1,781.62x = 2,812,344.91
  5. Step 5: Solve for x
    x = 2,812,344.91/1,781.62
  6. Step 6: Final answer
    x = 1,578.53

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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.