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Finding the Fourth Proportional to 2,232.62, 3,348.66 and 589.32

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Solution

The fourth proportional to 2,232.62, 3,348.66 and 589.32 is: 883.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,232.62 : 3,348.66 = 589.32 : x
  2. Step 2: Convert to fraction form
    2,232.62/3,348.66 = 589.32/x
  3. Step 3: Cross multiply
    2,232.62x = 3,348.66 × 589.32
  4. Step 4: Simplify right side
    2,232.62x = 1,973,432.31
  5. Step 5: Solve for x
    x = 1,973,432.31/2,232.62
  6. Step 6: Final answer
    x = 883.91

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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.