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Finding the Fourth Proportional to 1,633.11, 2,253.67 and 887.06

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Solution

The fourth proportional to 1,633.11, 2,253.67 and 887.06 is: 1,224.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,633.11 : 2,253.67 = 887.06 : x
  2. Step 2: Convert to fraction form
    1,633.11/2,253.67 = 887.06/x
  3. Step 3: Cross multiply
    1,633.11x = 2,253.67 × 887.06
  4. Step 4: Simplify right side
    1,633.11x = 1,999,140.51
  5. Step 5: Solve for x
    x = 1,999,140.51/1,633.11
  6. Step 6: Final answer
    x = 1,224.13

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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.