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Finding the Fourth Proportional to 2,049.17, 3,074.21 and 750.60

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Solution

The fourth proportional to 2,049.17, 3,074.21 and 750.60 is: 1,126.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,049.17 : 3,074.21 = 750.60 : x
  2. Step 2: Convert to fraction form
    2,049.17/3,074.21 = 750.60/x
  3. Step 3: Cross multiply
    2,049.17x = 3,074.21 × 750.60
  4. Step 4: Simplify right side
    2,049.17x = 2,307,502.03
  5. Step 5: Solve for x
    x = 2,307,502.03/2,049.17
  6. Step 6: Final answer
    x = 1,126.07

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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.