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Finding the Fourth Proportional to 3,199.70, 4,415.71 and 1,855.35

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Solution

The fourth proportional to 3,199.70, 4,415.71 and 1,855.35 is: 2,560.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,199.70 : 4,415.71 = 1,855.35 : x
  2. Step 2: Convert to fraction form
    3,199.70/4,415.71 = 1,855.35/x
  3. Step 3: Cross multiply
    3,199.70x = 4,415.71 × 1,855.35
  4. Step 4: Simplify right side
    3,199.70x = 8,192,687.55
  5. Step 5: Solve for x
    x = 8,192,687.55/3,199.70
  6. Step 6: Final answer
    x = 2,560.45

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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.