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Finding the Fourth Proportional to 1,988.88, 2,746.31 and 1,659.03

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Solution

The fourth proportional to 1,988.88, 2,746.31 and 1,659.03 is: 2,290.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,988.88 : 2,746.31 = 1,659.03 : x
  2. Step 2: Convert to fraction form
    1,988.88/2,746.31 = 1,659.03/x
  3. Step 3: Cross multiply
    1,988.88x = 2,746.31 × 1,659.03
  4. Step 4: Simplify right side
    1,988.88x = 4,556,216.87
  5. Step 5: Solve for x
    x = 4,556,216.87/1,988.88
  6. Step 6: Final answer
    x = 2,290.85

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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.