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Finding the Fourth Proportional to 2,720.64, 4,077.31 and 2,239.50

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Solution

The fourth proportional to 2,720.64, 4,077.31 and 2,239.50 is: 3,356.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,720.64 : 4,077.31 = 2,239.50 : x
  2. Step 2: Convert to fraction form
    2,720.64/4,077.31 = 2,239.50/x
  3. Step 3: Cross multiply
    2,720.64x = 4,077.31 × 2,239.50
  4. Step 4: Simplify right side
    2,720.64x = 9,131,135.75
  5. Step 5: Solve for x
    x = 9,131,135.75/2,720.64
  6. Step 6: Final answer
    x = 3,356.25

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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.