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Finding the Fourth Proportional to 2,232.83, 3,349.26 and 589.53

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Solution

The fourth proportional to 2,232.83, 3,349.26 and 589.53 is: 884.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,232.83 : 3,349.26 = 589.53 : x
  2. Step 2: Convert to fraction form
    2,232.83/3,349.26 = 589.53/x
  3. Step 3: Cross multiply
    2,232.83x = 3,349.26 × 589.53
  4. Step 4: Simplify right side
    2,232.83x = 1,974,489.25
  5. Step 5: Solve for x
    x = 1,974,489.25/2,232.83
  6. Step 6: Final answer
    x = 884.30

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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.