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Finding the Fourth Proportional to 3,327.70, 4,994.63 and 1,685.40

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Solution

The fourth proportional to 3,327.70, 4,994.63 and 1,685.40 is: 2,529.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,327.70 : 4,994.63 = 1,685.40 : x
  2. Step 2: Convert to fraction form
    3,327.70/4,994.63 = 1,685.40/x
  3. Step 3: Cross multiply
    3,327.70x = 4,994.63 × 1,685.40
  4. Step 4: Simplify right side
    3,327.70x = 8,417,949.40
  5. Step 5: Solve for x
    x = 8,417,949.40/3,327.70
  6. Step 6: Final answer
    x = 2,529.66

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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.