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Finding the Fourth Proportional to 1,856.41, 2,563.56 and 1,194.40

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Solution

The fourth proportional to 1,856.41, 2,563.56 and 1,194.40 is: 1,649.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,856.41 : 2,563.56 = 1,194.40 : x
  2. Step 2: Convert to fraction form
    1,856.41/2,563.56 = 1,194.40/x
  3. Step 3: Cross multiply
    1,856.41x = 2,563.56 × 1,194.40
  4. Step 4: Simplify right side
    1,856.41x = 3,061,919.27
  5. Step 5: Solve for x
    x = 3,061,919.27/1,856.41
  6. Step 6: Final answer
    x = 1,649.38

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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.