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Finding the Fourth Proportional to 1,683.75, 2,524.47 and 861.47

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Solution

The fourth proportional to 1,683.75, 2,524.47 and 861.47 is: 1,291.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,683.75 : 2,524.47 = 861.47 : x
  2. Step 2: Convert to fraction form
    1,683.75/2,524.47 = 861.47/x
  3. Step 3: Cross multiply
    1,683.75x = 2,524.47 × 861.47
  4. Step 4: Simplify right side
    1,683.75x = 2,174,748.78
  5. Step 5: Solve for x
    x = 2,174,748.78/1,683.75
  6. Step 6: Final answer
    x = 1,291.61

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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.