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Finding the Fourth Proportional to 1,640.33, 2,259.68 and 1,219.95

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Solution

The fourth proportional to 1,640.33, 2,259.68 and 1,219.95 is: 1,680.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,640.33 : 2,259.68 = 1,219.95 : x
  2. Step 2: Convert to fraction form
    1,640.33/2,259.68 = 1,219.95/x
  3. Step 3: Cross multiply
    1,640.33x = 2,259.68 × 1,219.95
  4. Step 4: Simplify right side
    1,640.33x = 2,756,690.52
  5. Step 5: Solve for x
    x = 2,756,690.52/1,640.33
  6. Step 6: Final answer
    x = 1,680.58

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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.