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Finding the Fourth Proportional to 2,923.62, 4,388.04 and 1,463.58

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Solution

The fourth proportional to 2,923.62, 4,388.04 and 1,463.58 is: 2,196.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,923.62 : 4,388.04 = 1,463.58 : x
  2. Step 2: Convert to fraction form
    2,923.62/4,388.04 = 1,463.58/x
  3. Step 3: Cross multiply
    2,923.62x = 4,388.04 × 1,463.58
  4. Step 4: Simplify right side
    2,923.62x = 6,422,247.58
  5. Step 5: Solve for x
    x = 6,422,247.58/2,923.62
  6. Step 6: Final answer
    x = 2,196.68

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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.