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Finding the Fourth Proportional to 2,605.39, 3,906.35 and 1,435.95

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Solution

The fourth proportional to 2,605.39, 3,906.35 and 1,435.95 is: 2,152.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,605.39 : 3,906.35 = 1,435.95 : x
  2. Step 2: Convert to fraction form
    2,605.39/3,906.35 = 1,435.95/x
  3. Step 3: Cross multiply
    2,605.39x = 3,906.35 × 1,435.95
  4. Step 4: Simplify right side
    2,605.39x = 5,609,326.87
  5. Step 5: Solve for x
    x = 5,609,326.87/2,605.39
  6. Step 6: Final answer
    x = 2,152.97

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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.