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Finding the Fourth Proportional to 2,401.09, 3,602.12 and 1,014.43

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Solution

The fourth proportional to 2,401.09, 3,602.12 and 1,014.43 is: 1,521.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,401.09 : 3,602.12 = 1,014.43 : x
  2. Step 2: Convert to fraction form
    2,401.09/3,602.12 = 1,014.43/x
  3. Step 3: Cross multiply
    2,401.09x = 3,602.12 × 1,014.43
  4. Step 4: Simplify right side
    2,401.09x = 3,654,098.59
  5. Step 5: Solve for x
    x = 3,654,098.59/2,401.09
  6. Step 6: Final answer
    x = 1,521.85

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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.