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Finding the Fourth Proportional to 1,988.93, 2,744.64 and 1,104.71

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Solution

The fourth proportional to 1,988.93, 2,744.64 and 1,104.71 is: 1,524.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,988.93 : 2,744.64 = 1,104.71 : x
  2. Step 2: Convert to fraction form
    1,988.93/2,744.64 = 1,104.71/x
  3. Step 3: Cross multiply
    1,988.93x = 2,744.64 × 1,104.71
  4. Step 4: Simplify right side
    1,988.93x = 3,032,017.53
  5. Step 5: Solve for x
    x = 3,032,017.53/1,988.93
  6. Step 6: Final answer
    x = 1,524.44

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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.