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Finding the Fourth Proportional to 2,906.35, 4,014.62 and 2,284.72

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Solution

The fourth proportional to 2,906.35, 4,014.62 and 2,284.72 is: 3,155.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,906.35 : 4,014.62 = 2,284.72 : x
  2. Step 2: Convert to fraction form
    2,906.35/4,014.62 = 2,284.72/x
  3. Step 3: Cross multiply
    2,906.35x = 4,014.62 × 2,284.72
  4. Step 4: Simplify right side
    2,906.35x = 9,172,282.61
  5. Step 5: Solve for x
    x = 9,172,282.61/2,906.35
  6. Step 6: Final answer
    x = 3,155.95

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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.