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Finding the Fourth Proportional to 2,698.90, 3,723.17 and 2,325.23

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Solution

The fourth proportional to 2,698.90, 3,723.17 and 2,325.23 is: 3,207.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,698.90 : 3,723.17 = 2,325.23 : x
  2. Step 2: Convert to fraction form
    2,698.90/3,723.17 = 2,325.23/x
  3. Step 3: Cross multiply
    2,698.90x = 3,723.17 × 2,325.23
  4. Step 4: Simplify right side
    2,698.90x = 8,657,239.91
  5. Step 5: Solve for x
    x = 8,657,239.91/2,698.90
  6. Step 6: Final answer
    x = 3,207.69

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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.