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Finding the Fourth Proportional to 2,855.12, 3,943.94 and 2,152.31

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Solution

The fourth proportional to 2,855.12, 3,943.94 and 2,152.31 is: 2,973.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,855.12 : 3,943.94 = 2,152.31 : x
  2. Step 2: Convert to fraction form
    2,855.12/3,943.94 = 2,152.31/x
  3. Step 3: Cross multiply
    2,855.12x = 3,943.94 × 2,152.31
  4. Step 4: Simplify right side
    2,855.12x = 8,488,551.02
  5. Step 5: Solve for x
    x = 8,488,551.02/2,855.12
  6. Step 6: Final answer
    x = 2,973.10

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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.