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Finding the Fourth Proportional to 1,631.84, 2,252.16 and 1,580.84

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Solution

The fourth proportional to 1,631.84, 2,252.16 and 1,580.84 is: 2,181.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,631.84 : 2,252.16 = 1,580.84 : x
  2. Step 2: Convert to fraction form
    1,631.84/2,252.16 = 1,580.84/x
  3. Step 3: Cross multiply
    1,631.84x = 2,252.16 × 1,580.84
  4. Step 4: Simplify right side
    1,631.84x = 3,560,304.61
  5. Step 5: Solve for x
    x = 3,560,304.61/1,631.84
  6. Step 6: Final answer
    x = 2,181.77

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.