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Finding the Fourth Proportional to 1,101.97, 1,632.33 and 1,089.68

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Solution

The fourth proportional to 1,101.97, 1,632.33 and 1,089.68 is: 1,614.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,101.97 : 1,632.33 = 1,089.68 : x
  2. Step 2: Convert to fraction form
    1,101.97/1,632.33 = 1,089.68/x
  3. Step 3: Cross multiply
    1,101.97x = 1,632.33 × 1,089.68
  4. Step 4: Simplify right side
    1,101.97x = 1,778,717.35
  5. Step 5: Solve for x
    x = 1,778,717.35/1,101.97
  6. Step 6: Final answer
    x = 1,614.13

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These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.