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Finding the Fourth Proportional to 2,679.50, 4,019.26 and 948.18

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Solution

The fourth proportional to 2,679.50, 4,019.26 and 948.18 is: 1,422.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,679.50 : 4,019.26 = 948.18 : x
  2. Step 2: Convert to fraction form
    2,679.50/4,019.26 = 948.18/x
  3. Step 3: Cross multiply
    2,679.50x = 4,019.26 × 948.18
  4. Step 4: Simplify right side
    2,679.50x = 3,810,981.95
  5. Step 5: Solve for x
    x = 3,810,981.95/2,679.50
  6. Step 6: Final answer
    x = 1,422.27

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.