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Finding the Fourth Proportional to 2,036.83, 2,811.01 and 1,197.11

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Solution

The fourth proportional to 2,036.83, 2,811.01 and 1,197.11 is: 1,652.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,036.83 : 2,811.01 = 1,197.11 : x
  2. Step 2: Convert to fraction form
    2,036.83/2,811.01 = 1,197.11/x
  3. Step 3: Cross multiply
    2,036.83x = 2,811.01 × 1,197.11
  4. Step 4: Simplify right side
    2,036.83x = 3,365,099.73
  5. Step 5: Solve for x
    x = 3,365,099.73/2,036.83
  6. Step 6: Final answer
    x = 1,652.12

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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.