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Finding the Fourth Proportional to 2,275.98, 3,138.08 and 1,855.14

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Solution

The fourth proportional to 2,275.98, 3,138.08 and 1,855.14 is: 2,557.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,275.98 : 3,138.08 = 1,855.14 : x
  2. Step 2: Convert to fraction form
    2,275.98/3,138.08 = 1,855.14/x
  3. Step 3: Cross multiply
    2,275.98x = 3,138.08 × 1,855.14
  4. Step 4: Simplify right side
    2,275.98x = 5,821,568.46
  5. Step 5: Solve for x
    x = 5,821,568.46/2,275.98
  6. Step 6: Final answer
    x = 2,557.83

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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.