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Finding the Fourth Proportional to 1,631.70, 2,446.46 and 841.55

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Solution

The fourth proportional to 1,631.70, 2,446.46 and 841.55 is: 1,261.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,631.70 : 2,446.46 = 841.55 : x
  2. Step 2: Convert to fraction form
    1,631.70/2,446.46 = 841.55/x
  3. Step 3: Cross multiply
    1,631.70x = 2,446.46 × 841.55
  4. Step 4: Simplify right side
    1,631.70x = 2,058,815.18
  5. Step 5: Solve for x
    x = 2,058,815.18/1,631.70
  6. Step 6: Final answer
    x = 1,261.76

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.