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Finding the Fourth Proportional to 2,441.76, 3,347.64 and 2,398.08

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Solution

The fourth proportional to 2,441.76, 3,347.64 and 2,398.08 is: 3,287.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,441.76 : 3,347.64 = 2,398.08 : x
  2. Step 2: Convert to fraction form
    2,441.76/3,347.64 = 2,398.08/x
  3. Step 3: Cross multiply
    2,441.76x = 3,347.64 × 2,398.08
  4. Step 4: Simplify right side
    2,441.76x = 8,027,908.53
  5. Step 5: Solve for x
    x = 8,027,908.53/2,441.76
  6. Step 6: Final answer
    x = 3,287.75

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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.