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Finding the Fourth Proportional to 2,761.16, 3,809.41 and 1,642.07

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Solution

The fourth proportional to 2,761.16, 3,809.41 and 1,642.07 is: 2,265.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,761.16 : 3,809.41 = 1,642.07 : x
  2. Step 2: Convert to fraction form
    2,761.16/3,809.41 = 1,642.07/x
  3. Step 3: Cross multiply
    2,761.16x = 3,809.41 × 1,642.07
  4. Step 4: Simplify right side
    2,761.16x = 6,255,323.30
  5. Step 5: Solve for x
    x = 6,255,323.30/2,761.16
  6. Step 6: Final answer
    x = 2,265.47

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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.