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Finding the Fourth Proportional to 3,298.95, 4,948.94 and 1,107.18

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Solution

The fourth proportional to 3,298.95, 4,948.94 and 1,107.18 is: 1,660.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,298.95 : 4,948.94 = 1,107.18 : x
  2. Step 2: Convert to fraction form
    3,298.95/4,948.94 = 1,107.18/x
  3. Step 3: Cross multiply
    3,298.95x = 4,948.94 × 1,107.18
  4. Step 4: Simplify right side
    3,298.95x = 5,479,370.16
  5. Step 5: Solve for x
    x = 5,479,370.16/3,298.95
  6. Step 6: Final answer
    x = 1,660.94

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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.