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Finding the Fourth Proportional to 1,633.84, 2,452.98 and 1,414.12

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Solution

The fourth proportional to 1,633.84, 2,452.98 and 1,414.12 is: 2,123.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,633.84 : 2,452.98 = 1,414.12 : x
  2. Step 2: Convert to fraction form
    1,633.84/2,452.98 = 1,414.12/x
  3. Step 3: Cross multiply
    1,633.84x = 2,452.98 × 1,414.12
  4. Step 4: Simplify right side
    1,633.84x = 3,468,808.08
  5. Step 5: Solve for x
    x = 3,468,808.08/1,633.84
  6. Step 6: Final answer
    x = 2,123.10

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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.