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Finding the Fourth Proportional to 2,290.39, 3,435.57 and 992.77

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Solution

The fourth proportional to 2,290.39, 3,435.57 and 992.77 is: 1,489.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,290.39 : 3,435.57 = 992.77 : x
  2. Step 2: Convert to fraction form
    2,290.39/3,435.57 = 992.77/x
  3. Step 3: Cross multiply
    2,290.39x = 3,435.57 × 992.77
  4. Step 4: Simplify right side
    2,290.39x = 3,410,730.83
  5. Step 5: Solve for x
    x = 3,410,730.83/2,290.39
  6. Step 6: Final answer
    x = 1,489.15

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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.