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Finding the Fourth Proportional to 2,468.34, 3,404.28 and 2,096.58

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Solution

The fourth proportional to 2,468.34, 3,404.28 and 2,096.58 is: 2,891.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,468.34 : 3,404.28 = 2,096.58 : x
  2. Step 2: Convert to fraction form
    2,468.34/3,404.28 = 2,096.58/x
  3. Step 3: Cross multiply
    2,468.34x = 3,404.28 × 2,096.58
  4. Step 4: Simplify right side
    2,468.34x = 7,137,345.36
  5. Step 5: Solve for x
    x = 7,137,345.36/2,468.34
  6. Step 6: Final answer
    x = 2,891.56

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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.