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Finding the Fourth Proportional to 1,462.43, 2,018.28 and 833.15

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Solution

The fourth proportional to 1,462.43, 2,018.28 and 833.15 is: 1,149.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,462.43 : 2,018.28 = 833.15 : x
  2. Step 2: Convert to fraction form
    1,462.43/2,018.28 = 833.15/x
  3. Step 3: Cross multiply
    1,462.43x = 2,018.28 × 833.15
  4. Step 4: Simplify right side
    1,462.43x = 1,681,529.98
  5. Step 5: Solve for x
    x = 1,681,529.98/1,462.43
  6. Step 6: Final answer
    x = 1,149.82

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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.