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Finding the Fourth Proportional to 2,350.14, 3,242.82 and 1,302

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Solution

The fourth proportional to 2,350.14, 3,242.82 and 1,302 is: 1,796.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,350.14 : 3,242.82 = 1,302 : x
  2. Step 2: Convert to fraction form
    2,350.14/3,242.82 = 1,302/x
  3. Step 3: Cross multiply
    2,350.14x = 3,242.82 × 1,302
  4. Step 4: Simplify right side
    2,350.14x = 4,222,151.64
  5. Step 5: Solve for x
    x = 4,222,151.64/2,350.14
  6. Step 6: Final answer
    x = 1,796.55

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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.