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Finding the Fourth Proportional to 3,404.10, 4,695.93 and 2,006.58

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Solution

The fourth proportional to 3,404.10, 4,695.93 and 2,006.58 is: 2,768.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,404.10 : 4,695.93 = 2,006.58 : x
  2. Step 2: Convert to fraction form
    3,404.10/4,695.93 = 2,006.58/x
  3. Step 3: Cross multiply
    3,404.10x = 4,695.93 × 2,006.58
  4. Step 4: Simplify right side
    3,404.10x = 9,422,759.22
  5. Step 5: Solve for x
    x = 9,422,759.22/3,404.10
  6. Step 6: Final answer
    x = 2,768.06

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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.