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Finding the Fourth Proportional to 2,660.95, 3,991.42 and 2,657.10

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Solution

The fourth proportional to 2,660.95, 3,991.42 and 2,657.10 is: 3,985.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,660.95 : 3,991.42 = 2,657.10 : x
  2. Step 2: Convert to fraction form
    2,660.95/3,991.42 = 2,657.10/x
  3. Step 3: Cross multiply
    2,660.95x = 3,991.42 × 2,657.10
  4. Step 4: Simplify right side
    2,660.95x = 10,605,602.08
  5. Step 5: Solve for x
    x = 10,605,602.08/2,660.95
  6. Step 6: Final answer
    x = 3,985.65

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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.