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Finding the Fourth Proportional to 2,329.66, 3,489.09 and 2,260.54

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Solution

The fourth proportional to 2,329.66, 3,489.09 and 2,260.54 is: 3,385.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,329.66 : 3,489.09 = 2,260.54 : x
  2. Step 2: Convert to fraction form
    2,329.66/3,489.09 = 2,260.54/x
  3. Step 3: Cross multiply
    2,329.66x = 3,489.09 × 2,260.54
  4. Step 4: Simplify right side
    2,329.66x = 7,887,227.51
  5. Step 5: Solve for x
    x = 7,887,227.51/2,329.66
  6. Step 6: Final answer
    x = 3,385.57

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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.