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Finding the Fourth Proportional to 2,154.44, 3,232.47 and 856.82

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Solution

The fourth proportional to 2,154.44, 3,232.47 and 856.82 is: 1,285.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,154.44 : 3,232.47 = 856.82 : x
  2. Step 2: Convert to fraction form
    2,154.44/3,232.47 = 856.82/x
  3. Step 3: Cross multiply
    2,154.44x = 3,232.47 × 856.82
  4. Step 4: Simplify right side
    2,154.44x = 2,769,644.95
  5. Step 5: Solve for x
    x = 2,769,644.95/2,154.44
  6. Step 6: Final answer
    x = 1,285.55

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.