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Finding the Fourth Proportional to 3,364.50, 4,641.99 and 1,948.22

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Solution

The fourth proportional to 3,364.50, 4,641.99 and 1,948.22 is: 2,687.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,364.50 : 4,641.99 = 1,948.22 : x
  2. Step 2: Convert to fraction form
    3,364.50/4,641.99 = 1,948.22/x
  3. Step 3: Cross multiply
    3,364.50x = 4,641.99 × 1,948.22
  4. Step 4: Simplify right side
    3,364.50x = 9,043,617.76
  5. Step 5: Solve for x
    x = 9,043,617.76/3,364.50
  6. Step 6: Final answer
    x = 2,687.95

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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.