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Finding the Fourth Proportional to 3,849.64, 5,777.70 and 1,660

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Solution

The fourth proportional to 3,849.64, 5,777.70 and 1,660 is: 2,491.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,849.64 : 5,777.70 = 1,660 : x
  2. Step 2: Convert to fraction form
    3,849.64/5,777.70 = 1,660/x
  3. Step 3: Cross multiply
    3,849.64x = 5,777.70 × 1,660
  4. Step 4: Simplify right side
    3,849.64x = 9,590,982
  5. Step 5: Solve for x
    x = 9,590,982/3,849.64
  6. Step 6: Final answer
    x = 2,491.40

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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.