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Finding the Fourth Proportional to 3,057.48, 4,219.37 and 1,660.23

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Solution

The fourth proportional to 3,057.48, 4,219.37 and 1,660.23 is: 2,291.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,057.48 : 4,219.37 = 1,660.23 : x
  2. Step 2: Convert to fraction form
    3,057.48/4,219.37 = 1,660.23/x
  3. Step 3: Cross multiply
    3,057.48x = 4,219.37 × 1,660.23
  4. Step 4: Simplify right side
    3,057.48x = 7,005,116.35
  5. Step 5: Solve for x
    x = 7,005,116.35/3,057.48
  6. Step 6: Final answer
    x = 2,291.14

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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.