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Finding the Fourth Proportional to 2,398.48, 3,290.41 and 2,375.80

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Solution

The fourth proportional to 2,398.48, 3,290.41 and 2,375.80 is: 3,259.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,398.48 : 3,290.41 = 2,375.80 : x
  2. Step 2: Convert to fraction form
    2,398.48/3,290.41 = 2,375.80/x
  3. Step 3: Cross multiply
    2,398.48x = 3,290.41 × 2,375.80
  4. Step 4: Simplify right side
    2,398.48x = 7,817,356.08
  5. Step 5: Solve for x
    x = 7,817,356.08/2,398.48
  6. Step 6: Final answer
    x = 3,259.30

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.