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Finding the Fourth Proportional to 3,401.60, 4,694.06 and 1,985.36

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Solution

The fourth proportional to 3,401.60, 4,694.06 and 1,985.36 is: 2,739.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,401.60 : 4,694.06 = 1,985.36 : x
  2. Step 2: Convert to fraction form
    3,401.60/4,694.06 = 1,985.36/x
  3. Step 3: Cross multiply
    3,401.60x = 4,694.06 × 1,985.36
  4. Step 4: Simplify right side
    3,401.60x = 9,319,365.56
  5. Step 5: Solve for x
    x = 9,319,365.56/3,401.60
  6. Step 6: Final answer
    x = 2,739.70

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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.