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Finding the Fourth Proportional to 2,398.34, 3,310.82 and 1,690.76

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Solution

The fourth proportional to 2,398.34, 3,310.82 and 1,690.76 is: 2,334.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,398.34 : 3,310.82 = 1,690.76 : x
  2. Step 2: Convert to fraction form
    2,398.34/3,310.82 = 1,690.76/x
  3. Step 3: Cross multiply
    2,398.34x = 3,310.82 × 1,690.76
  4. Step 4: Simplify right side
    2,398.34x = 5,597,799.07
  5. Step 5: Solve for x
    x = 5,597,799.07/2,398.34
  6. Step 6: Final answer
    x = 2,334.03

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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.