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Finding the Fourth Proportional to 3,292.30, 4,932.78 and 1,975.24

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Solution

The fourth proportional to 3,292.30, 4,932.78 and 1,975.24 is: 2,959.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,292.30 : 4,932.78 = 1,975.24 : x
  2. Step 2: Convert to fraction form
    3,292.30/4,932.78 = 1,975.24/x
  3. Step 3: Cross multiply
    3,292.30x = 4,932.78 × 1,975.24
  4. Step 4: Simplify right side
    3,292.30x = 9,743,424.37
  5. Step 5: Solve for x
    x = 9,743,424.37/3,292.30
  6. Step 6: Final answer
    x = 2,959.46

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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.