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Finding the Fourth Proportional to 2,001.51, 2,761.97 and 1,162.16

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Solution

The fourth proportional to 2,001.51, 2,761.97 and 1,162.16 is: 1,603.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,001.51 : 2,761.97 = 1,162.16 : x
  2. Step 2: Convert to fraction form
    2,001.51/2,761.97 = 1,162.16/x
  3. Step 3: Cross multiply
    2,001.51x = 2,761.97 × 1,162.16
  4. Step 4: Simplify right side
    2,001.51x = 3,209,831.43
  5. Step 5: Solve for x
    x = 3,209,831.43/2,001.51
  6. Step 6: Final answer
    x = 1,603.70

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.