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Finding the Fourth Proportional to 2,508.11, 3,760.11 and 947.22

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Solution

The fourth proportional to 2,508.11, 3,760.11 and 947.22 is: 1,420.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,508.11 : 3,760.11 = 947.22 : x
  2. Step 2: Convert to fraction form
    2,508.11/3,760.11 = 947.22/x
  3. Step 3: Cross multiply
    2,508.11x = 3,760.11 × 947.22
  4. Step 4: Simplify right side
    2,508.11x = 3,561,656.06
  5. Step 5: Solve for x
    x = 3,561,656.06/2,508.11
  6. Step 6: Final answer
    x = 1,420.06

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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.