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Finding the Fourth Proportional to 2,312.31, 3,468.08 and 851.48

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Solution

The fourth proportional to 2,312.31, 3,468.08 and 851.48 is: 1,277.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,312.31 : 3,468.08 = 851.48 : x
  2. Step 2: Convert to fraction form
    2,312.31/3,468.08 = 851.48/x
  3. Step 3: Cross multiply
    2,312.31x = 3,468.08 × 851.48
  4. Step 4: Simplify right side
    2,312.31x = 2,952,998.55
  5. Step 5: Solve for x
    x = 2,952,998.55/2,312.31
  6. Step 6: Final answer
    x = 1,277.08

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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.