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Finding the Fourth Proportional to 1,631.89, 2,252.01 and 885.85

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Solution

The fourth proportional to 1,631.89, 2,252.01 and 885.85 is: 1,222.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,631.89 : 2,252.01 = 885.85 : x
  2. Step 2: Convert to fraction form
    1,631.89/2,252.01 = 885.85/x
  3. Step 3: Cross multiply
    1,631.89x = 2,252.01 × 885.85
  4. Step 4: Simplify right side
    1,631.89x = 1,994,928.90
  5. Step 5: Solve for x
    x = 1,994,928.90/1,631.89
  6. Step 6: Final answer
    x = 1,222.47

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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.