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Finding the Fourth Proportional to 1,863.81, 2,571.08 and 1,165.59

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Solution

The fourth proportional to 1,863.81, 2,571.08 and 1,165.59 is: 1,607.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,863.81 : 2,571.08 = 1,165.59 : x
  2. Step 2: Convert to fraction form
    1,863.81/2,571.08 = 1,165.59/x
  3. Step 3: Cross multiply
    1,863.81x = 2,571.08 × 1,165.59
  4. Step 4: Simplify right side
    1,863.81x = 2,996,819.31
  5. Step 5: Solve for x
    x = 2,996,819.31/1,863.81
  6. Step 6: Final answer
    x = 1,607.90

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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.