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Finding the Fourth Proportional to 2,154.48, 3,231.32 and 856.05

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Solution

The fourth proportional to 2,154.48, 3,231.32 and 856.05 is: 1,283.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,154.48 : 3,231.32 = 856.05 : x
  2. Step 2: Convert to fraction form
    2,154.48/3,231.32 = 856.05/x
  3. Step 3: Cross multiply
    2,154.48x = 3,231.32 × 856.05
  4. Step 4: Simplify right side
    2,154.48x = 2,766,167.21
  5. Step 5: Solve for x
    x = 2,766,167.21/2,154.48
  6. Step 6: Final answer
    x = 1,283.91

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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.