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Finding the Fourth Proportional to 2,756.41, 3,809.16 and 2,049.28

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Solution

The fourth proportional to 2,756.41, 3,809.16 and 2,049.28 is: 2,831.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,756.41 : 3,809.16 = 2,049.28 : x
  2. Step 2: Convert to fraction form
    2,756.41/3,809.16 = 2,049.28/x
  3. Step 3: Cross multiply
    2,756.41x = 3,809.16 × 2,049.28
  4. Step 4: Simplify right side
    2,756.41x = 7,806,035.40
  5. Step 5: Solve for x
    x = 7,806,035.40/2,756.41
  6. Step 6: Final answer
    x = 2,831.96

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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.