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Finding the Fourth Proportional to 1,987.50, 2,742.30 and 1,201.39

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Solution

The fourth proportional to 1,987.50, 2,742.30 and 1,201.39 is: 1,657.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,987.50 : 2,742.30 = 1,201.39 : x
  2. Step 2: Convert to fraction form
    1,987.50/2,742.30 = 1,201.39/x
  3. Step 3: Cross multiply
    1,987.50x = 2,742.30 × 1,201.39
  4. Step 4: Simplify right side
    1,987.50x = 3,294,571.80
  5. Step 5: Solve for x
    x = 3,294,571.80/1,987.50
  6. Step 6: Final answer
    x = 1,657.65

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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.