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Finding the Fourth Proportional to 1,409.91, 2,115.22 and 422.72

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Solution

The fourth proportional to 1,409.91, 2,115.22 and 422.72 is: 634.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,409.91 : 2,115.22 = 422.72 : x
  2. Step 2: Convert to fraction form
    1,409.91/2,115.22 = 422.72/x
  3. Step 3: Cross multiply
    1,409.91x = 2,115.22 × 422.72
  4. Step 4: Simplify right side
    1,409.91x = 894,144.08
  5. Step 5: Solve for x
    x = 894,144.08/1,409.91
  6. Step 6: Final answer
    x = 634.19

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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.