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Finding the Fourth Proportional to 1,451.39, 2,174.75 and 757.02

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Solution

The fourth proportional to 1,451.39, 2,174.75 and 757.02 is: 1,134.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,451.39 : 2,174.75 = 757.02 : x
  2. Step 2: Convert to fraction form
    1,451.39/2,174.75 = 757.02/x
  3. Step 3: Cross multiply
    1,451.39x = 2,174.75 × 757.02
  4. Step 4: Simplify right side
    1,451.39x = 1,646,325.46
  5. Step 5: Solve for x
    x = 1,646,325.46/1,451.39
  6. Step 6: Final answer
    x = 1,134.31

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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.