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Finding the Fourth Proportional to 3,401.74, 4,693.19 and 2,142.91

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Solution

The fourth proportional to 3,401.74, 4,693.19 and 2,142.91 is: 2,956.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,401.74 : 4,693.19 = 2,142.91 : x
  2. Step 2: Convert to fraction form
    3,401.74/4,693.19 = 2,142.91/x
  3. Step 3: Cross multiply
    3,401.74x = 4,693.19 × 2,142.91
  4. Step 4: Simplify right side
    3,401.74x = 10,057,083.78
  5. Step 5: Solve for x
    x = 10,057,083.78/3,401.74
  6. Step 6: Final answer
    x = 2,956.45

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.