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Finding the Fourth Proportional to 2,855.90, 3,937.74 and 2,384.48

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Solution

The fourth proportional to 2,855.90, 3,937.74 and 2,384.48 is: 3,287.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,855.90 : 3,937.74 = 2,384.48 : x
  2. Step 2: Convert to fraction form
    2,855.90/3,937.74 = 2,384.48/x
  3. Step 3: Cross multiply
    2,855.90x = 3,937.74 × 2,384.48
  4. Step 4: Simplify right side
    2,855.90x = 9,389,462.28
  5. Step 5: Solve for x
    x = 9,389,462.28/2,855.90
  6. Step 6: Final answer
    x = 3,287.74

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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.