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Finding the Fourth Proportional to 2,232.86, 3,349.31 and 589.64

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Solution

The fourth proportional to 2,232.86, 3,349.31 and 589.64 is: 884.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,232.86 : 3,349.31 = 589.64 : x
  2. Step 2: Convert to fraction form
    2,232.86/3,349.31 = 589.64/x
  3. Step 3: Cross multiply
    2,232.86x = 3,349.31 × 589.64
  4. Step 4: Simplify right side
    2,232.86x = 1,974,867.45
  5. Step 5: Solve for x
    x = 1,974,867.45/2,232.86
  6. Step 6: Final answer
    x = 884.46

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Why These Related Problems?

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