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Finding the Fourth Proportional to 2,232.95, 3,349.37 and 589.46

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Solution

The fourth proportional to 2,232.95, 3,349.37 and 589.46 is: 884.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,232.95 : 3,349.37 = 589.46 : x
  2. Step 2: Convert to fraction form
    2,232.95/3,349.37 = 589.46/x
  3. Step 3: Cross multiply
    2,232.95x = 3,349.37 × 589.46
  4. Step 4: Simplify right side
    2,232.95x = 1,974,299.95
  5. Step 5: Solve for x
    x = 1,974,299.95/2,232.95
  6. Step 6: Final answer
    x = 884.17

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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.