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Finding the Fourth Proportional to 1,633.42, 2,446.71 and 1,221.99

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Solution

The fourth proportional to 1,633.42, 2,446.71 and 1,221.99 is: 1,830.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,633.42 : 2,446.71 = 1,221.99 : x
  2. Step 2: Convert to fraction form
    1,633.42/2,446.71 = 1,221.99/x
  3. Step 3: Cross multiply
    1,633.42x = 2,446.71 × 1,221.99
  4. Step 4: Simplify right side
    1,633.42x = 2,989,841.40
  5. Step 5: Solve for x
    x = 2,989,841.40/1,633.42
  6. Step 6: Final answer
    x = 1,830.42

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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.