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Finding the Fourth Proportional to 2,426.70, 3,632.85 and 1,605.90

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Solution

The fourth proportional to 2,426.70, 3,632.85 and 1,605.90 is: 2,404.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,426.70 : 3,632.85 = 1,605.90 : x
  2. Step 2: Convert to fraction form
    2,426.70/3,632.85 = 1,605.90/x
  3. Step 3: Cross multiply
    2,426.70x = 3,632.85 × 1,605.90
  4. Step 4: Simplify right side
    2,426.70x = 5,833,993.82
  5. Step 5: Solve for x
    x = 5,833,993.82/2,426.70
  6. Step 6: Final answer
    x = 2,404.09

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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.