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Finding the Fourth Proportional to 2,279.98, 3,144.99 and 1,440.01

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Solution

The fourth proportional to 2,279.98, 3,144.99 and 1,440.01 is: 1,986.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,279.98 : 3,144.99 = 1,440.01 : x
  2. Step 2: Convert to fraction form
    2,279.98/3,144.99 = 1,440.01/x
  3. Step 3: Cross multiply
    2,279.98x = 3,144.99 × 1,440.01
  4. Step 4: Simplify right side
    2,279.98x = 4,528,817.05
  5. Step 5: Solve for x
    x = 4,528,817.05/2,279.98
  6. Step 6: Final answer
    x = 1,986.34

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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.