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Finding the Fourth Proportional to 2,398.76, 3,310.06 and 1,769.63

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Solution

The fourth proportional to 2,398.76, 3,310.06 and 1,769.63 is: 2,441.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,398.76 : 3,310.06 = 1,769.63 : x
  2. Step 2: Convert to fraction form
    2,398.76/3,310.06 = 1,769.63/x
  3. Step 3: Cross multiply
    2,398.76x = 3,310.06 × 1,769.63
  4. Step 4: Simplify right side
    2,398.76x = 5,857,581.48
  5. Step 5: Solve for x
    x = 5,857,581.48/2,398.76
  6. Step 6: Final answer
    x = 2,441.92

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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.