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Finding the Fourth Proportional to 1,521.67, 2,282.97 and 741.56

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Solution

The fourth proportional to 1,521.67, 2,282.97 and 741.56 is: 1,112.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,521.67 : 2,282.97 = 741.56 : x
  2. Step 2: Convert to fraction form
    1,521.67/2,282.97 = 741.56/x
  3. Step 3: Cross multiply
    1,521.67x = 2,282.97 × 741.56
  4. Step 4: Simplify right side
    1,521.67x = 1,692,958.14
  5. Step 5: Solve for x
    x = 1,692,958.14/1,521.67
  6. Step 6: Final answer
    x = 1,112.57

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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.