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Finding the Fourth Proportional to 2,398.27, 3,598.79 and 1,011.51

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Solution

The fourth proportional to 2,398.27, 3,598.79 and 1,011.51 is: 1,517.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,398.27 : 3,598.79 = 1,011.51 : x
  2. Step 2: Convert to fraction form
    2,398.27/3,598.79 = 1,011.51/x
  3. Step 3: Cross multiply
    2,398.27x = 3,598.79 × 1,011.51
  4. Step 4: Simplify right side
    2,398.27x = 3,640,212.07
  5. Step 5: Solve for x
    x = 3,640,212.07/2,398.27
  6. Step 6: Final answer
    x = 1,517.85

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.