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Finding the Fourth Proportional to 2,952.50, 4,076.14 and 1,959.12

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Solution

The fourth proportional to 2,952.50, 4,076.14 and 1,959.12 is: 2,704.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,952.50 : 4,076.14 = 1,959.12 : x
  2. Step 2: Convert to fraction form
    2,952.50/4,076.14 = 1,959.12/x
  3. Step 3: Cross multiply
    2,952.50x = 4,076.14 × 1,959.12
  4. Step 4: Simplify right side
    2,952.50x = 7,985,642.50
  5. Step 5: Solve for x
    x = 7,985,642.50/2,952.50
  6. Step 6: Final answer
    x = 2,704.71

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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.