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Finding the Fourth Proportional to 1,265.14, 1,896.15 and 1,034.49

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Solution

The fourth proportional to 1,265.14, 1,896.15 and 1,034.49 is: 1,550.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,265.14 : 1,896.15 = 1,034.49 : x
  2. Step 2: Convert to fraction form
    1,265.14/1,896.15 = 1,034.49/x
  3. Step 3: Cross multiply
    1,265.14x = 1,896.15 × 1,034.49
  4. Step 4: Simplify right side
    1,265.14x = 1,961,548.21
  5. Step 5: Solve for x
    x = 1,961,548.21/1,265.14
  6. Step 6: Final answer
    x = 1,550.47

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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.