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Finding the Fourth Proportional to 1,581.81, 2,369.03 and 1,250.53

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Solution

The fourth proportional to 1,581.81, 2,369.03 and 1,250.53 is: 1,872.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,581.81 : 2,369.03 = 1,250.53 : x
  2. Step 2: Convert to fraction form
    1,581.81/2,369.03 = 1,250.53/x
  3. Step 3: Cross multiply
    1,581.81x = 2,369.03 × 1,250.53
  4. Step 4: Simplify right side
    1,581.81x = 2,962,537.94
  5. Step 5: Solve for x
    x = 2,962,537.94/1,581.81
  6. Step 6: Final answer
    x = 1,872.88

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Why These Related Problems?

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