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Finding the Fourth Proportional to 1,633.82, 2,254.67 and 887.78

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Solution

The fourth proportional to 1,633.82, 2,254.67 and 887.78 is: 1,225.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,633.82 : 2,254.67 = 887.78 : x
  2. Step 2: Convert to fraction form
    1,633.82/2,254.67 = 887.78/x
  3. Step 3: Cross multiply
    1,633.82x = 2,254.67 × 887.78
  4. Step 4: Simplify right side
    1,633.82x = 2,001,635.22
  5. Step 5: Solve for x
    x = 2,001,635.22/1,633.82
  6. Step 6: Final answer
    x = 1,225.13

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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.