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Finding the Fourth Proportional to 1,643.38, 2,454.23 and 1,461.94

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Solution

The fourth proportional to 1,643.38, 2,454.23 and 1,461.94 is: 2,183.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,643.38 : 2,454.23 = 1,461.94 : x
  2. Step 2: Convert to fraction form
    1,643.38/2,454.23 = 1,461.94/x
  3. Step 3: Cross multiply
    1,643.38x = 2,454.23 × 1,461.94
  4. Step 4: Simplify right side
    1,643.38x = 3,587,934.53
  5. Step 5: Solve for x
    x = 3,587,934.53/1,643.38
  6. Step 6: Final answer
    x = 2,183.27

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.