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Finding the Fourth Proportional to 3,394.90, 4,677.93 and 2,401.30

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Solution

The fourth proportional to 3,394.90, 4,677.93 and 2,401.30 is: 3,308.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,394.90 : 4,677.93 = 2,401.30 : x
  2. Step 2: Convert to fraction form
    3,394.90/4,677.93 = 2,401.30/x
  3. Step 3: Cross multiply
    3,394.90x = 4,677.93 × 2,401.30
  4. Step 4: Simplify right side
    3,394.90x = 11,233,113.31
  5. Step 5: Solve for x
    x = 11,233,113.31/3,394.90
  6. Step 6: Final answer
    x = 3,308.82

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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.