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Finding the Fourth Proportional to 3,057.72, 4,219.70 and 1,660.47

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Solution

The fourth proportional to 3,057.72, 4,219.70 and 1,660.47 is: 2,291.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,057.72 : 4,219.70 = 1,660.47 : x
  2. Step 2: Convert to fraction form
    3,057.72/4,219.70 = 1,660.47/x
  3. Step 3: Cross multiply
    3,057.72x = 4,219.70 × 1,660.47
  4. Step 4: Simplify right side
    3,057.72x = 7,006,685.26
  5. Step 5: Solve for x
    x = 7,006,685.26/3,057.72
  6. Step 6: Final answer
    x = 2,291.47

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.