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Finding the Fourth Proportional to 2,003.76, 2,761.38 and 1,443.24

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Solution

The fourth proportional to 2,003.76, 2,761.38 and 1,443.24 is: 1,988.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,003.76 : 2,761.38 = 1,443.24 : x
  2. Step 2: Convert to fraction form
    2,003.76/2,761.38 = 1,443.24/x
  3. Step 3: Cross multiply
    2,003.76x = 2,761.38 × 1,443.24
  4. Step 4: Simplify right side
    2,003.76x = 3,985,334.07
  5. Step 5: Solve for x
    x = 3,985,334.07/2,003.76
  6. Step 6: Final answer
    x = 1,988.93

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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.