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Finding the Fourth Proportional to 2,370.71, 3,563.88 and 1,682.31

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Solution

The fourth proportional to 2,370.71, 3,563.88 and 1,682.31 is: 2,529.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,370.71 : 3,563.88 = 1,682.31 : x
  2. Step 2: Convert to fraction form
    2,370.71/3,563.88 = 1,682.31/x
  3. Step 3: Cross multiply
    2,370.71x = 3,563.88 × 1,682.31
  4. Step 4: Simplify right side
    2,370.71x = 5,995,550.96
  5. Step 5: Solve for x
    x = 5,995,550.96/2,370.71
  6. Step 6: Final answer
    x = 2,529.01

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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.