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Finding the Fourth Proportional to 2,153.16, 3,229.75 and 854.63

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Solution

The fourth proportional to 2,153.16, 3,229.75 and 854.63 is: 1,281.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,153.16 : 3,229.75 = 854.63 : x
  2. Step 2: Convert to fraction form
    2,153.16/3,229.75 = 854.63/x
  3. Step 3: Cross multiply
    2,153.16x = 3,229.75 × 854.63
  4. Step 4: Simplify right side
    2,153.16x = 2,760,226.79
  5. Step 5: Solve for x
    x = 2,760,226.79/2,153.16
  6. Step 6: Final answer
    x = 1,281.94

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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.