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Finding the Fourth Proportional to 2,232.60, 3,348.58 and 589

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Solution

The fourth proportional to 2,232.60, 3,348.58 and 589 is: 883.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,232.60 : 3,348.58 = 589 : x
  2. Step 2: Convert to fraction form
    2,232.60/3,348.58 = 589/x
  3. Step 3: Cross multiply
    2,232.60x = 3,348.58 × 589
  4. Step 4: Simplify right side
    2,232.60x = 1,972,313.62
  5. Step 5: Solve for x
    x = 1,972,313.62/2,232.60
  6. Step 6: Final answer
    x = 883.42

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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.