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Finding the Fourth Proportional to 3,401.70, 4,693.14 and 2,223.45

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Solution

The fourth proportional to 3,401.70, 4,693.14 and 2,223.45 is: 3,067.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,401.70 : 4,693.14 = 2,223.45 : x
  2. Step 2: Convert to fraction form
    3,401.70/4,693.14 = 2,223.45/x
  3. Step 3: Cross multiply
    3,401.70x = 4,693.14 × 2,223.45
  4. Step 4: Simplify right side
    3,401.70x = 10,434,962.13
  5. Step 5: Solve for x
    x = 10,434,962.13/3,401.70
  6. Step 6: Final answer
    x = 3,067.57

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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.