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Finding the Fourth Proportional to 2,086.72, 3,129.52 and 853.76

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Solution

The fourth proportional to 2,086.72, 3,129.52 and 853.76 is: 1,280.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,086.72 : 3,129.52 = 853.76 : x
  2. Step 2: Convert to fraction form
    2,086.72/3,129.52 = 853.76/x
  3. Step 3: Cross multiply
    2,086.72x = 3,129.52 × 853.76
  4. Step 4: Simplify right side
    2,086.72x = 2,671,859.00
  5. Step 5: Solve for x
    x = 2,671,859.00/2,086.72
  6. Step 6: Final answer
    x = 1,280.41

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.