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Finding the Fourth Proportional to 2,049.48, 3,073.59 and 751.05

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Solution

The fourth proportional to 2,049.48, 3,073.59 and 751.05 is: 1,126.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,049.48 : 3,073.59 = 751.05 : x
  2. Step 2: Convert to fraction form
    2,049.48/3,073.59 = 751.05/x
  3. Step 3: Cross multiply
    2,049.48x = 3,073.59 × 751.05
  4. Step 4: Simplify right side
    2,049.48x = 2,308,419.77
  5. Step 5: Solve for x
    x = 2,308,419.77/2,049.48
  6. Step 6: Final answer
    x = 1,126.34

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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.