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Finding the Fourth Proportional to 2,170.42, 3,254.72 and 853.97

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Solution

The fourth proportional to 2,170.42, 3,254.72 and 853.97 is: 1,280.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,170.42 : 3,254.72 = 853.97 : x
  2. Step 2: Convert to fraction form
    2,170.42/3,254.72 = 853.97/x
  3. Step 3: Cross multiply
    2,170.42x = 3,254.72 × 853.97
  4. Step 4: Simplify right side
    2,170.42x = 2,779,412.69
  5. Step 5: Solve for x
    x = 2,779,412.69/2,170.42
  6. Step 6: Final answer
    x = 1,280.59

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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.