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Finding the Fourth Proportional to 2,275.42, 3,414.75 and 1,755.94

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Solution

The fourth proportional to 2,275.42, 3,414.75 and 1,755.94 is: 2,635.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,275.42 : 3,414.75 = 1,755.94 : x
  2. Step 2: Convert to fraction form
    2,275.42/3,414.75 = 1,755.94/x
  3. Step 3: Cross multiply
    2,275.42x = 3,414.75 × 1,755.94
  4. Step 4: Simplify right side
    2,275.42x = 5,996,096.12
  5. Step 5: Solve for x
    x = 5,996,096.12/2,275.42
  6. Step 6: Final answer
    x = 2,635.16

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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.