Home / 2,001.42-2,761.56-1,162.13

Finding the Fourth Proportional to 2,001.42, 2,761.56 and 1,162.13

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Solution

The fourth proportional to 2,001.42, 2,761.56 and 1,162.13 is: 1,603.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,001.42 : 2,761.56 = 1,162.13 : x
  2. Step 2: Convert to fraction form
    2,001.42/2,761.56 = 1,162.13/x
  3. Step 3: Cross multiply
    2,001.42x = 2,761.56 × 1,162.13
  4. Step 4: Simplify right side
    2,001.42x = 3,209,277.92
  5. Step 5: Solve for x
    x = 3,209,277.92/2,001.42
  6. Step 6: Final answer
    x = 1,603.50

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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.