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Finding the Fourth Proportional to 2,144.76, 2,959.38 and 2,035.41

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Solution

The fourth proportional to 2,144.76, 2,959.38 and 2,035.41 is: 2,808.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,144.76 : 2,959.38 = 2,035.41 : x
  2. Step 2: Convert to fraction form
    2,144.76/2,959.38 = 2,035.41/x
  3. Step 3: Cross multiply
    2,144.76x = 2,959.38 × 2,035.41
  4. Step 4: Simplify right side
    2,144.76x = 6,023,551.65
  5. Step 5: Solve for x
    x = 6,023,551.65/2,144.76
  6. Step 6: Final answer
    x = 2,808.50

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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.