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Finding the Fourth Proportional to 2,257.66, 3,403.91 and 2,243.62

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Solution

The fourth proportional to 2,257.66, 3,403.91 and 2,243.62 is: 3,382.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,257.66 : 3,403.91 = 2,243.62 : x
  2. Step 2: Convert to fraction form
    2,257.66/3,403.91 = 2,243.62/x
  3. Step 3: Cross multiply
    2,257.66x = 3,403.91 × 2,243.62
  4. Step 4: Simplify right side
    2,257.66x = 7,637,080.55
  5. Step 5: Solve for x
    x = 7,637,080.55/2,257.66
  6. Step 6: Final answer
    x = 3,382.74

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.