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Finding the Fourth Proportional to 1,593.44, 2,392.38 and 1,464.65

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Solution

The fourth proportional to 1,593.44, 2,392.38 and 1,464.65 is: 2,199.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,593.44 : 2,392.38 = 1,464.65 : x
  2. Step 2: Convert to fraction form
    1,593.44/2,392.38 = 1,464.65/x
  3. Step 3: Cross multiply
    1,593.44x = 2,392.38 × 1,464.65
  4. Step 4: Simplify right side
    1,593.44x = 3,503,987.41
  5. Step 5: Solve for x
    x = 3,503,987.41/1,593.44
  6. Step 6: Final answer
    x = 2,199.01

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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.