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Finding the Fourth Proportional to 1,462.83, 2,198.03 and 1,099.95

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Solution

The fourth proportional to 1,462.83, 2,198.03 and 1,099.95 is: 1,652.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,462.83 : 2,198.03 = 1,099.95 : x
  2. Step 2: Convert to fraction form
    1,462.83/2,198.03 = 1,099.95/x
  3. Step 3: Cross multiply
    1,462.83x = 2,198.03 × 1,099.95
  4. Step 4: Simplify right side
    1,462.83x = 2,417,717.60
  5. Step 5: Solve for x
    x = 2,417,717.60/1,462.83
  6. Step 6: Final answer
    x = 1,652.77

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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.