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Finding the Fourth Proportional to 1,987.22, 2,742.48 and 1,103.12

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Solution

The fourth proportional to 1,987.22, 2,742.48 and 1,103.12 is: 1,522.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,987.22 : 2,742.48 = 1,103.12 : x
  2. Step 2: Convert to fraction form
    1,987.22/2,742.48 = 1,103.12/x
  3. Step 3: Cross multiply
    1,987.22x = 2,742.48 × 1,103.12
  4. Step 4: Simplify right side
    1,987.22x = 3,025,284.54
  5. Step 5: Solve for x
    x = 3,025,284.54/1,987.22
  6. Step 6: Final answer
    x = 1,522.37

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1.5x scale

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.