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Finding the Fourth Proportional to 2,917.88, 4,027.64 and 1,856.36

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Solution

The fourth proportional to 2,917.88, 4,027.64 and 1,856.36 is: 2,562.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,917.88 : 4,027.64 = 1,856.36 : x
  2. Step 2: Convert to fraction form
    2,917.88/4,027.64 = 1,856.36/x
  3. Step 3: Cross multiply
    2,917.88x = 4,027.64 × 1,856.36
  4. Step 4: Simplify right side
    2,917.88x = 7,476,749.79
  5. Step 5: Solve for x
    x = 7,476,749.79/2,917.88
  6. Step 6: Final answer
    x = 2,562.39

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Why These Related Problems?

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