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Finding the Fourth Proportional to 1,927.25, 2,659.82 and 1,264.49

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Solution

The fourth proportional to 1,927.25, 2,659.82 and 1,264.49 is: 1,745.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,927.25 : 2,659.82 = 1,264.49 : x
  2. Step 2: Convert to fraction form
    1,927.25/2,659.82 = 1,264.49/x
  3. Step 3: Cross multiply
    1,927.25x = 2,659.82 × 1,264.49
  4. Step 4: Simplify right side
    1,927.25x = 3,363,296.17
  5. Step 5: Solve for x
    x = 3,363,296.17/1,927.25
  6. Step 6: Final answer
    x = 1,745.13

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.