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Finding the Fourth Proportional to 2,853.74, 3,937.95 and 1,611.50

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Solution

The fourth proportional to 2,853.74, 3,937.95 and 1,611.50 is: 2,223.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,853.74 : 3,937.95 = 1,611.50 : x
  2. Step 2: Convert to fraction form
    2,853.74/3,937.95 = 1,611.50/x
  3. Step 3: Cross multiply
    2,853.74x = 3,937.95 × 1,611.50
  4. Step 4: Simplify right side
    2,853.74x = 6,346,006.43
  5. Step 5: Solve for x
    x = 6,346,006.43/2,853.74
  6. Step 6: Final answer
    x = 2,223.75

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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.