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Finding the Fourth Proportional to 1,463.11, 2,019.18 and 1,064.86

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Solution

The fourth proportional to 1,463.11, 2,019.18 and 1,064.86 is: 1,469.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,463.11 : 2,019.18 = 1,064.86 : x
  2. Step 2: Convert to fraction form
    1,463.11/2,019.18 = 1,064.86/x
  3. Step 3: Cross multiply
    1,463.11x = 2,019.18 × 1,064.86
  4. Step 4: Simplify right side
    1,463.11x = 2,150,144.01
  5. Step 5: Solve for x
    x = 2,150,144.01/1,463.11
  6. Step 6: Final answer
    x = 1,469.57

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.