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Finding the Fourth Proportional to 1,610.83, 2,219.83 and 1,085.95

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Solution

The fourth proportional to 1,610.83, 2,219.83 and 1,085.95 is: 1,496.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,610.83 : 2,219.83 = 1,085.95 : x
  2. Step 2: Convert to fraction form
    1,610.83/2,219.83 = 1,085.95/x
  3. Step 3: Cross multiply
    1,610.83x = 2,219.83 × 1,085.95
  4. Step 4: Simplify right side
    1,610.83x = 2,410,624.39
  5. Step 5: Solve for x
    x = 2,410,624.39/1,610.83
  6. Step 6: Final answer
    x = 1,496.51

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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.