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Finding the Fourth Proportional to 1,631.76, 2,251.84 and 885.72

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Solution

The fourth proportional to 1,631.76, 2,251.84 and 885.72 is: 1,222.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,631.76 : 2,251.84 = 885.72 : x
  2. Step 2: Convert to fraction form
    1,631.76/2,251.84 = 885.72/x
  3. Step 3: Cross multiply
    1,631.76x = 2,251.84 × 885.72
  4. Step 4: Simplify right side
    1,631.76x = 1,994,499.72
  5. Step 5: Solve for x
    x = 1,994,499.72/1,631.76
  6. Step 6: Final answer
    x = 1,222.30

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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.