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Finding the Fourth Proportional to 2,401.34, 3,594.24 and 2,174.00

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Solution

The fourth proportional to 2,401.34, 3,594.24 and 2,174.00 is: 3,253.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,401.34 : 3,594.24 = 2,174.00 : x
  2. Step 2: Convert to fraction form
    2,401.34/3,594.24 = 2,174.00/x
  3. Step 3: Cross multiply
    2,401.34x = 3,594.24 × 2,174.00
  4. Step 4: Simplify right side
    2,401.34x = 7,813,859.79
  5. Step 5: Solve for x
    x = 7,813,859.79/2,401.34
  6. Step 6: Final answer
    x = 3,253.96

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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.