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Finding the Fourth Proportional to 1,757.10, 2,634.78 and 935.15

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Solution

The fourth proportional to 1,757.10, 2,634.78 and 935.15 is: 1,402.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,757.10 : 2,634.78 = 935.15 : x
  2. Step 2: Convert to fraction form
    1,757.10/2,634.78 = 935.15/x
  3. Step 3: Cross multiply
    1,757.10x = 2,634.78 × 935.15
  4. Step 4: Simplify right side
    1,757.10x = 2,463,914.52
  5. Step 5: Solve for x
    x = 2,463,914.52/1,757.10
  6. Step 6: Final answer
    x = 1,402.26

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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.