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Finding the Fourth Proportional to 2,401.65, 3,601.94 and 1,101.87

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Solution

The fourth proportional to 2,401.65, 3,601.94 and 1,101.87 is: 1,652.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,401.65 : 3,601.94 = 1,101.87 : x
  2. Step 2: Convert to fraction form
    2,401.65/3,601.94 = 1,101.87/x
  3. Step 3: Cross multiply
    2,401.65x = 3,601.94 × 1,101.87
  4. Step 4: Simplify right side
    2,401.65x = 3,968,864.12
  5. Step 5: Solve for x
    x = 3,968,864.12/2,401.65
  6. Step 6: Final answer
    x = 1,652.56

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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.