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Finding the Fourth Proportional to 2,690.90, 3,713.50 and 1,512.20

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Solution

The fourth proportional to 2,690.90, 3,713.50 and 1,512.20 is: 2,086.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,690.90 : 3,713.50 = 1,512.20 : x
  2. Step 2: Convert to fraction form
    2,690.90/3,713.50 = 1,512.20/x
  3. Step 3: Cross multiply
    2,690.90x = 3,713.50 × 1,512.20
  4. Step 4: Simplify right side
    2,690.90x = 5,615,554.70
  5. Step 5: Solve for x
    x = 5,615,554.70/2,690.90
  6. Step 6: Final answer
    x = 2,086.87

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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.