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Finding the Fourth Proportional to 1,633.10, 2,253.68 and 887.07

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Solution

The fourth proportional to 1,633.10, 2,253.68 and 887.07 is: 1,224.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,633.10 : 2,253.68 = 887.07 : x
  2. Step 2: Convert to fraction form
    1,633.10/2,253.68 = 887.07/x
  3. Step 3: Cross multiply
    1,633.10x = 2,253.68 × 887.07
  4. Step 4: Simplify right side
    1,633.10x = 1,999,174.14
  5. Step 5: Solve for x
    x = 1,999,174.14/1,633.10
  6. Step 6: Final answer
    x = 1,224.16

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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.