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Finding the Fourth Proportional to 1,988.79, 2,744.70 and 1,104.57

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Solution

The fourth proportional to 1,988.79, 2,744.70 and 1,104.57 is: 1,524.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,988.79 : 2,744.70 = 1,104.57 : x
  2. Step 2: Convert to fraction form
    1,988.79/2,744.70 = 1,104.57/x
  3. Step 3: Cross multiply
    1,988.79x = 2,744.70 × 1,104.57
  4. Step 4: Simplify right side
    1,988.79x = 3,031,713.28
  5. Step 5: Solve for x
    x = 3,031,713.28/1,988.79
  6. Step 6: Final answer
    x = 1,524.40

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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.