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Finding the Fourth Proportional to 1,473.45, 2,027.97 and 1,293

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Solution

The fourth proportional to 1,473.45, 2,027.97 and 1,293 is: 1,779.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,473.45 : 2,027.97 = 1,293 : x
  2. Step 2: Convert to fraction form
    1,473.45/2,027.97 = 1,293/x
  3. Step 3: Cross multiply
    1,473.45x = 2,027.97 × 1,293
  4. Step 4: Simplify right side
    1,473.45x = 2,622,165.21
  5. Step 5: Solve for x
    x = 2,622,165.21/1,473.45
  6. Step 6: Final answer
    x = 1,779.61

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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.