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Finding the Fourth Proportional to 2,233.21, 3,349.72 and 589.76

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Solution

The fourth proportional to 2,233.21, 3,349.72 and 589.76 is: 884.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,233.21 : 3,349.72 = 589.76 : x
  2. Step 2: Convert to fraction form
    2,233.21/3,349.72 = 589.76/x
  3. Step 3: Cross multiply
    2,233.21x = 3,349.72 × 589.76
  4. Step 4: Simplify right side
    2,233.21x = 1,975,530.87
  5. Step 5: Solve for x
    x = 1,975,530.87/2,233.21
  6. Step 6: Final answer
    x = 884.61

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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.