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Finding the Fourth Proportional to 2,645.83, 3,951.35 and 2,126.62

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Solution

The fourth proportional to 2,645.83, 3,951.35 and 2,126.62 is: 3,175.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,645.83 : 3,951.35 = 2,126.62 : x
  2. Step 2: Convert to fraction form
    2,645.83/3,951.35 = 2,126.62/x
  3. Step 3: Cross multiply
    2,645.83x = 3,951.35 × 2,126.62
  4. Step 4: Simplify right side
    2,645.83x = 8,403,019.94
  5. Step 5: Solve for x
    x = 8,403,019.94/2,645.83
  6. Step 6: Final answer
    x = 3,175.95

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.