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Finding the Fourth Proportional to 2,892.06, 4,340.20 and 2,159.40

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Solution

The fourth proportional to 2,892.06, 4,340.20 and 2,159.40 is: 3,240.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,892.06 : 4,340.20 = 2,159.40 : x
  2. Step 2: Convert to fraction form
    2,892.06/4,340.20 = 2,159.40/x
  3. Step 3: Cross multiply
    2,892.06x = 4,340.20 × 2,159.40
  4. Step 4: Simplify right side
    2,892.06x = 9,372,227.88
  5. Step 5: Solve for x
    x = 9,372,227.88/2,892.06
  6. Step 6: Final answer
    x = 3,240.68

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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.