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Finding the Fourth Proportional to 2,288.65, 3,432.43 and 989.41

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Solution

The fourth proportional to 2,288.65, 3,432.43 and 989.41 is: 1,483.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,288.65 : 3,432.43 = 989.41 : x
  2. Step 2: Convert to fraction form
    2,288.65/3,432.43 = 989.41/x
  3. Step 3: Cross multiply
    2,288.65x = 3,432.43 × 989.41
  4. Step 4: Simplify right side
    2,288.65x = 3,396,080.57
  5. Step 5: Solve for x
    x = 3,396,080.57/2,288.65
  6. Step 6: Final answer
    x = 1,483.88

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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.