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Finding the Fourth Proportional to 1,633.21, 2,253.83 and 887.17

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Solution

The fourth proportional to 1,633.21, 2,253.83 and 887.17 is: 1,224.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,633.21 : 2,253.83 = 887.17 : x
  2. Step 2: Convert to fraction form
    1,633.21/2,253.83 = 887.17/x
  3. Step 3: Cross multiply
    1,633.21x = 2,253.83 × 887.17
  4. Step 4: Simplify right side
    1,633.21x = 1,999,533.80
  5. Step 5: Solve for x
    x = 1,999,533.80/1,633.21
  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.