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Finding the Fourth Proportional to 2,414.16, 3,622.98 and 1,594.16

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Solution

The fourth proportional to 2,414.16, 3,622.98 and 1,594.16 is: 2,392.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,414.16 : 3,622.98 = 1,594.16 : x
  2. Step 2: Convert to fraction form
    2,414.16/3,622.98 = 1,594.16/x
  3. Step 3: Cross multiply
    2,414.16x = 3,622.98 × 1,594.16
  4. Step 4: Simplify right side
    2,414.16x = 5,775,609.80
  5. Step 5: Solve for x
    x = 5,775,609.80/2,414.16
  6. Step 6: Final answer
    x = 2,392.39

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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.