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Finding the Fourth Proportional to 1,969.95, 2,718.50 and 1,085.73

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Solution

The fourth proportional to 1,969.95, 2,718.50 and 1,085.73 is: 1,498.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,969.95 : 2,718.50 = 1,085.73 : x
  2. Step 2: Convert to fraction form
    1,969.95/2,718.50 = 1,085.73/x
  3. Step 3: Cross multiply
    1,969.95x = 2,718.50 × 1,085.73
  4. Step 4: Simplify right side
    1,969.95x = 2,951,551.58
  5. Step 5: Solve for x
    x = 2,951,551.58/1,969.95
  6. Step 6: Final answer
    x = 1,498.29

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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.