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Finding the Fourth Proportional to 2,362.06, 3,258.17 and 1,699.79

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Solution

The fourth proportional to 2,362.06, 3,258.17 and 1,699.79 is: 2,344.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,362.06 : 3,258.17 = 1,699.79 : x
  2. Step 2: Convert to fraction form
    2,362.06/3,258.17 = 1,699.79/x
  3. Step 3: Cross multiply
    2,362.06x = 3,258.17 × 1,699.79
  4. Step 4: Simplify right side
    2,362.06x = 5,538,195.93
  5. Step 5: Solve for x
    x = 5,538,195.93/2,362.06
  6. Step 6: Final answer
    x = 2,344.65

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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.