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Finding the Fourth Proportional to 2,566.71, 3,538.71 and 1,682.19

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Solution

The fourth proportional to 2,566.71, 3,538.71 and 1,682.19 is: 2,319.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,566.71 : 3,538.71 = 1,682.19 : x
  2. Step 2: Convert to fraction form
    2,566.71/3,538.71 = 1,682.19/x
  3. Step 3: Cross multiply
    2,566.71x = 3,538.71 × 1,682.19
  4. Step 4: Simplify right side
    2,566.71x = 5,952,782.57
  5. Step 5: Solve for x
    x = 5,952,782.57/2,566.71
  6. Step 6: Final answer
    x = 2,319.23

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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.