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Finding the Fourth Proportional to 2,734.74, 3,775.67 and 1,895.15

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Solution

The fourth proportional to 2,734.74, 3,775.67 and 1,895.15 is: 2,616.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,734.74 : 3,775.67 = 1,895.15 : x
  2. Step 2: Convert to fraction form
    2,734.74/3,775.67 = 1,895.15/x
  3. Step 3: Cross multiply
    2,734.74x = 3,775.67 × 1,895.15
  4. Step 4: Simplify right side
    2,734.74x = 7,155,432.65
  5. Step 5: Solve for x
    x = 7,155,432.65/2,734.74
  6. Step 6: Final answer
    x = 2,616.49

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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.