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Finding the Fourth Proportional to 1,524.56, 2,104.04 and 861.60

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Solution

The fourth proportional to 1,524.56, 2,104.04 and 861.60 is: 1,189.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,524.56 : 2,104.04 = 861.60 : x
  2. Step 2: Convert to fraction form
    1,524.56/2,104.04 = 861.60/x
  3. Step 3: Cross multiply
    1,524.56x = 2,104.04 × 861.60
  4. Step 4: Simplify right side
    1,524.56x = 1,812,840.86
  5. Step 5: Solve for x
    x = 1,812,840.86/1,524.56
  6. Step 6: Final answer
    x = 1,189.09

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.