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Finding the Fourth Proportional to 2,700.74, 4,049.60 and 945.27

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Solution

The fourth proportional to 2,700.74, 4,049.60 and 945.27 is: 1,417.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,700.74 : 4,049.60 = 945.27 : x
  2. Step 2: Convert to fraction form
    2,700.74/4,049.60 = 945.27/x
  3. Step 3: Cross multiply
    2,700.74x = 4,049.60 × 945.27
  4. Step 4: Simplify right side
    2,700.74x = 3,827,960.67
  5. Step 5: Solve for x
    x = 3,827,960.67/2,700.74
  6. Step 6: Final answer
    x = 1,417.37

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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.