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Finding the Fourth Proportional to 2,392.92, 3,589.71 and 1,006.32

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Solution

The fourth proportional to 2,392.92, 3,589.71 and 1,006.32 is: 1,509.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,392.92 : 3,589.71 = 1,006.32 : x
  2. Step 2: Convert to fraction form
    2,392.92/3,589.71 = 1,006.32/x
  3. Step 3: Cross multiply
    2,392.92x = 3,589.71 × 1,006.32
  4. Step 4: Simplify right side
    2,392.92x = 3,612,396.97
  5. Step 5: Solve for x
    x = 3,612,396.97/2,392.92
  6. Step 6: Final answer
    x = 1,509.62

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1.5x scale

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.