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Finding the Fourth Proportional to 1,523.38, 2,286.03 and 875.38

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Solution

The fourth proportional to 1,523.38, 2,286.03 and 875.38 is: 1,313.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,523.38 : 2,286.03 = 875.38 : x
  2. Step 2: Convert to fraction form
    1,523.38/2,286.03 = 875.38/x
  3. Step 3: Cross multiply
    1,523.38x = 2,286.03 × 875.38
  4. Step 4: Simplify right side
    1,523.38x = 2,001,144.94
  5. Step 5: Solve for x
    x = 2,001,144.94/1,523.38
  6. Step 6: Final answer
    x = 1,313.62

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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.