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Finding the Fourth Proportional to 2,689.66, 3,703.26 and 2,443.60

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Solution

The fourth proportional to 2,689.66, 3,703.26 and 2,443.60 is: 3,364.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,689.66 : 3,703.26 = 2,443.60 : x
  2. Step 2: Convert to fraction form
    2,689.66/3,703.26 = 2,443.60/x
  3. Step 3: Cross multiply
    2,689.66x = 3,703.26 × 2,443.60
  4. Step 4: Simplify right side
    2,689.66x = 9,049,286.14
  5. Step 5: Solve for x
    x = 9,049,286.14/2,689.66
  6. Step 6: Final answer
    x = 3,364.47

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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.