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Finding the Fourth Proportional to 2,933.98, 4,397.28 and 2,096.68

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Solution

The fourth proportional to 2,933.98, 4,397.28 and 2,096.68 is: 3,142.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,933.98 : 4,397.28 = 2,096.68 : x
  2. Step 2: Convert to fraction form
    2,933.98/4,397.28 = 2,096.68/x
  3. Step 3: Cross multiply
    2,933.98x = 4,397.28 × 2,096.68
  4. Step 4: Simplify right side
    2,933.98x = 9,219,689.03
  5. Step 5: Solve for x
    x = 9,219,689.03/2,933.98
  6. Step 6: Final answer
    x = 3,142.38

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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.