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Finding the Fourth Proportional to 2,086.23, 3,129.04 and 751.89

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Solution

The fourth proportional to 2,086.23, 3,129.04 and 751.89 is: 1,127.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,086.23 : 3,129.04 = 751.89 : x
  2. Step 2: Convert to fraction form
    2,086.23/3,129.04 = 751.89/x
  3. Step 3: Cross multiply
    2,086.23x = 3,129.04 × 751.89
  4. Step 4: Simplify right side
    2,086.23x = 2,352,693.89
  5. Step 5: Solve for x
    x = 2,352,693.89/2,086.23
  6. Step 6: Final answer
    x = 1,127.73

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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.