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Finding the Fourth Proportional to 1,523.98, 2,286.42 and 875.20

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Solution

The fourth proportional to 1,523.98, 2,286.42 and 875.20 is: 1,313.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,523.98 : 2,286.42 = 875.20 : x
  2. Step 2: Convert to fraction form
    1,523.98/2,286.42 = 875.20/x
  3. Step 3: Cross multiply
    1,523.98x = 2,286.42 × 875.20
  4. Step 4: Simplify right side
    1,523.98x = 2,001,074.78
  5. Step 5: Solve for x
    x = 2,001,074.78/1,523.98
  6. Step 6: Final answer
    x = 1,313.06

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