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Finding the Fourth Proportional to 2,594.97, 3,581.11 and 1,416.12

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Solution

The fourth proportional to 2,594.97, 3,581.11 and 1,416.12 is: 1,954.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,594.97 : 3,581.11 = 1,416.12 : x
  2. Step 2: Convert to fraction form
    2,594.97/3,581.11 = 1,416.12/x
  3. Step 3: Cross multiply
    2,594.97x = 3,581.11 × 1,416.12
  4. Step 4: Simplify right side
    2,594.97x = 5,071,269.83
  5. Step 5: Solve for x
    x = 5,071,269.83/2,594.97
  6. Step 6: Final answer
    x = 1,954.27

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.