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Finding the Fourth Proportional to 3,057.64, 4,219.45 and 1,731.46

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Solution

The fourth proportional to 3,057.64, 4,219.45 and 1,731.46 is: 2,389.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,057.64 : 4,219.45 = 1,731.46 : x
  2. Step 2: Convert to fraction form
    3,057.64/4,219.45 = 1,731.46/x
  3. Step 3: Cross multiply
    3,057.64x = 4,219.45 × 1,731.46
  4. Step 4: Simplify right side
    3,057.64x = 7,305,808.90
  5. Step 5: Solve for x
    x = 7,305,808.90/3,057.64
  6. Step 6: Final answer
    x = 2,389.36

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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.