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Finding the Fourth Proportional to 2,392.65, 3,589.98 and 1,468.23

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Solution

The fourth proportional to 2,392.65, 3,589.98 and 1,468.23 is: 2,202.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,392.65 : 3,589.98 = 1,468.23 : x
  2. Step 2: Convert to fraction form
    2,392.65/3,589.98 = 1,468.23/x
  3. Step 3: Cross multiply
    2,392.65x = 3,589.98 × 1,468.23
  4. Step 4: Simplify right side
    2,392.65x = 5,270,916.34
  5. Step 5: Solve for x
    x = 5,270,916.34/2,392.65
  6. Step 6: Final answer
    x = 2,202.96

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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.