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Finding the Fourth Proportional to 1,633.23, 2,253.84 and 887.18

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Solution

The fourth proportional to 1,633.23, 2,253.84 and 887.18 is: 1,224.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,633.23 : 2,253.84 = 887.18 : x
  2. Step 2: Convert to fraction form
    1,633.23/2,253.84 = 887.18/x
  3. Step 3: Cross multiply
    1,633.23x = 2,253.84 × 887.18
  4. Step 4: Simplify right side
    1,633.23x = 1,999,550.50
  5. Step 5: Solve for x
    x = 1,999,550.50/1,633.23
  6. Step 6: Final answer
    x = 1,224.29

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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.