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Finding the Fourth Proportional to 1,377.93, 1,896.75 and 1,202.97

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Solution

The fourth proportional to 1,377.93, 1,896.75 and 1,202.97 is: 1,655.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,377.93 : 1,896.75 = 1,202.97 : x
  2. Step 2: Convert to fraction form
    1,377.93/1,896.75 = 1,202.97/x
  3. Step 3: Cross multiply
    1,377.93x = 1,896.75 × 1,202.97
  4. Step 4: Simplify right side
    1,377.93x = 2,281,733.35
  5. Step 5: Solve for x
    x = 2,281,733.35/1,377.93
  6. Step 6: Final answer
    x = 1,655.91

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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.