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Finding the Fourth Proportional to 1,987.84, 2,744.16 and 1,191.44

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Solution

The fourth proportional to 1,987.84, 2,744.16 and 1,191.44 is: 1,644.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,987.84 : 2,744.16 = 1,191.44 : x
  2. Step 2: Convert to fraction form
    1,987.84/2,744.16 = 1,191.44/x
  3. Step 3: Cross multiply
    1,987.84x = 2,744.16 × 1,191.44
  4. Step 4: Simplify right side
    1,987.84x = 3,269,501.99
  5. Step 5: Solve for x
    x = 3,269,501.99/1,987.84
  6. Step 6: Final answer
    x = 1,644.75

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.