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Finding the Fourth Proportional to 1,410.78, 1,944.54 and 1,293.12

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Solution

The fourth proportional to 1,410.78, 1,944.54 and 1,293.12 is: 1,782.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,410.78 : 1,944.54 = 1,293.12 : x
  2. Step 2: Convert to fraction form
    1,410.78/1,944.54 = 1,293.12/x
  3. Step 3: Cross multiply
    1,410.78x = 1,944.54 × 1,293.12
  4. Step 4: Simplify right side
    1,410.78x = 2,514,523.56
  5. Step 5: Solve for x
    x = 2,514,523.56/1,410.78
  6. Step 6: Final answer
    x = 1,782.36

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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.