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Finding the Fourth Proportional to 3,968.68, 5,952.84 and 1,660

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Solution

The fourth proportional to 3,968.68, 5,952.84 and 1,660 is: 2,489.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,968.68 : 5,952.84 = 1,660 : x
  2. Step 2: Convert to fraction form
    3,968.68/5,952.84 = 1,660/x
  3. Step 3: Cross multiply
    3,968.68x = 5,952.84 × 1,660
  4. Step 4: Simplify right side
    3,968.68x = 9,881,714.40
  5. Step 5: Solve for x
    x = 9,881,714.40/3,968.68
  6. Step 6: Final answer
    x = 2,489.92

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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.