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Finding the Fourth Proportional to 2,401.27, 3,602.21 and 940.23

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Solution

The fourth proportional to 2,401.27, 3,602.21 and 940.23 is: 1,410.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,401.27 : 3,602.21 = 940.23 : x
  2. Step 2: Convert to fraction form
    2,401.27/3,602.21 = 940.23/x
  3. Step 3: Cross multiply
    2,401.27x = 3,602.21 × 940.23
  4. Step 4: Simplify right side
    2,401.27x = 3,386,905.91
  5. Step 5: Solve for x
    x = 3,386,905.91/2,401.27
  6. Step 6: Final answer
    x = 1,410.46

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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.