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Finding the Fourth Proportional to 1,605.72, 2,411.94 and 1,426.92

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Solution

The fourth proportional to 1,605.72, 2,411.94 and 1,426.92 is: 2,143.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,605.72 : 2,411.94 = 1,426.92 : x
  2. Step 2: Convert to fraction form
    1,605.72/2,411.94 = 1,426.92/x
  3. Step 3: Cross multiply
    1,605.72x = 2,411.94 × 1,426.92
  4. Step 4: Simplify right side
    1,605.72x = 3,441,645.42
  5. Step 5: Solve for x
    x = 3,441,645.42/1,605.72
  6. Step 6: Final answer
    x = 2,143.37

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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.