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Finding the Fourth Proportional to 2,523.70, 3,783.11 and 1,291.69

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Solution

The fourth proportional to 2,523.70, 3,783.11 and 1,291.69 is: 1,936.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,523.70 : 3,783.11 = 1,291.69 : x
  2. Step 2: Convert to fraction form
    2,523.70/3,783.11 = 1,291.69/x
  3. Step 3: Cross multiply
    2,523.70x = 3,783.11 × 1,291.69
  4. Step 4: Simplify right side
    2,523.70x = 4,886,605.36
  5. Step 5: Solve for x
    x = 4,886,605.36/2,523.70
  6. Step 6: Final answer
    x = 1,936.29

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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.