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Finding the Fourth Proportional to 2,968.76, 4,096.83 and 1,642.52

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Solution

The fourth proportional to 2,968.76, 4,096.83 and 1,642.52 is: 2,266.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,968.76 : 4,096.83 = 1,642.52 : x
  2. Step 2: Convert to fraction form
    2,968.76/4,096.83 = 1,642.52/x
  3. Step 3: Cross multiply
    2,968.76x = 4,096.83 × 1,642.52
  4. Step 4: Simplify right side
    2,968.76x = 6,729,141.61
  5. Step 5: Solve for x
    x = 6,729,141.61/2,968.76
  6. Step 6: Final answer
    x = 2,266.65

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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.