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Finding the Fourth Proportional to 3,301.46, 4,952.20 and 1,932.50

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Solution

The fourth proportional to 3,301.46, 4,952.20 and 1,932.50 is: 2,898.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,301.46 : 4,952.20 = 1,932.50 : x
  2. Step 2: Convert to fraction form
    3,301.46/4,952.20 = 1,932.50/x
  3. Step 3: Cross multiply
    3,301.46x = 4,952.20 × 1,932.50
  4. Step 4: Simplify right side
    3,301.46x = 9,570,126.50
  5. Step 5: Solve for x
    x = 9,570,126.50/3,301.46
  6. Step 6: Final answer
    x = 2,898.76

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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.