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Finding the Fourth Proportional to 2,309.73, 3,464.51 and 1,270.22

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Solution

The fourth proportional to 2,309.73, 3,464.51 and 1,270.22 is: 1,905.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,309.73 : 3,464.51 = 1,270.22 : x
  2. Step 2: Convert to fraction form
    2,309.73/3,464.51 = 1,270.22/x
  3. Step 3: Cross multiply
    2,309.73x = 3,464.51 × 1,270.22
  4. Step 4: Simplify right side
    2,309.73x = 4,400,666.22
  5. Step 5: Solve for x
    x = 4,400,666.22/2,309.73
  6. Step 6: Final answer
    x = 1,905.27

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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.