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Finding the Fourth Proportional to 2,401.13, 3,601.90 and 1,014.21

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Solution

The fourth proportional to 2,401.13, 3,601.90 and 1,014.21 is: 1,521.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,401.13 : 3,601.90 = 1,014.21 : x
  2. Step 2: Convert to fraction form
    2,401.13/3,601.90 = 1,014.21/x
  3. Step 3: Cross multiply
    2,401.13x = 3,601.90 × 1,014.21
  4. Step 4: Simplify right side
    2,401.13x = 3,653,083.00
  5. Step 5: Solve for x
    x = 3,653,083.00/2,401.13
  6. Step 6: Final answer
    x = 1,521.40

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.