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Finding the Fourth Proportional to 1,265.02, 1,896.23 and 917.49

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Solution

The fourth proportional to 1,265.02, 1,896.23 and 917.49 is: 1,375.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,265.02 : 1,896.23 = 917.49 : x
  2. Step 2: Convert to fraction form
    1,265.02/1,896.23 = 917.49/x
  3. Step 3: Cross multiply
    1,265.02x = 1,896.23 × 917.49
  4. Step 4: Simplify right side
    1,265.02x = 1,739,772.06
  5. Step 5: Solve for x
    x = 1,739,772.06/1,265.02
  6. Step 6: Final answer
    x = 1,375.29

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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.