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Finding the Fourth Proportional to 2,326.71, 3,489.86 and 683.37

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Solution

The fourth proportional to 2,326.71, 3,489.86 and 683.37 is: 1,024.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,326.71 : 3,489.86 = 683.37 : x
  2. Step 2: Convert to fraction form
    2,326.71/3,489.86 = 683.37/x
  3. Step 3: Cross multiply
    2,326.71x = 3,489.86 × 683.37
  4. Step 4: Simplify right side
    2,326.71x = 2,384,862.21
  5. Step 5: Solve for x
    x = 2,384,862.21/2,326.71
  6. Step 6: Final answer
    x = 1,024.99

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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.