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Finding the Fourth Proportional to 2,381.67, 3,574.81 and 1,149.94

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Solution

The fourth proportional to 2,381.67, 3,574.81 and 1,149.94 is: 1,726.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,381.67 : 3,574.81 = 1,149.94 : x
  2. Step 2: Convert to fraction form
    2,381.67/3,574.81 = 1,149.94/x
  3. Step 3: Cross multiply
    2,381.67x = 3,574.81 × 1,149.94
  4. Step 4: Simplify right side
    2,381.67x = 4,110,817.01
  5. Step 5: Solve for x
    x = 4,110,817.01/2,381.67
  6. Step 6: Final answer
    x = 1,726.02

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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.