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Finding the Fourth Proportional to 2,257.93, 3,115.95 and 1,314.28

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Solution

The fourth proportional to 2,257.93, 3,115.95 and 1,314.28 is: 1,813.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,257.93 : 3,115.95 = 1,314.28 : x
  2. Step 2: Convert to fraction form
    2,257.93/3,115.95 = 1,314.28/x
  3. Step 3: Cross multiply
    2,257.93x = 3,115.95 × 1,314.28
  4. Step 4: Simplify right side
    2,257.93x = 4,095,230.77
  5. Step 5: Solve for x
    x = 4,095,230.77/2,257.93
  6. Step 6: Final answer
    x = 1,813.71

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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.