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Finding the Fourth Proportional to 1,632.82, 2,253.33 and 886.78

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Solution

The fourth proportional to 1,632.82, 2,253.33 and 886.78 is: 1,223.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,632.82 : 2,253.33 = 886.78 : x
  2. Step 2: Convert to fraction form
    1,632.82/2,253.33 = 886.78/x
  3. Step 3: Cross multiply
    1,632.82x = 2,253.33 × 886.78
  4. Step 4: Simplify right side
    1,632.82x = 1,998,196.71
  5. Step 5: Solve for x
    x = 1,998,196.71/1,632.82
  6. Step 6: Final answer
    x = 1,223.77

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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.