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Finding the Fourth Proportional to 2,604.71, 3,596.17 and 2,324.46

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Solution

The fourth proportional to 2,604.71, 3,596.17 and 2,324.46 is: 3,209.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,604.71 : 3,596.17 = 2,324.46 : x
  2. Step 2: Convert to fraction form
    2,604.71/3,596.17 = 2,324.46/x
  3. Step 3: Cross multiply
    2,604.71x = 3,596.17 × 2,324.46
  4. Step 4: Simplify right side
    2,604.71x = 8,359,153.32
  5. Step 5: Solve for x
    x = 8,359,153.32/2,604.71
  6. Step 6: Final answer
    x = 3,209.25

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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.