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Finding the Fourth Proportional to 2,709.34, 4,062.57 and 1,247.22

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Solution

The fourth proportional to 2,709.34, 4,062.57 and 1,247.22 is: 1,870.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,709.34 : 4,062.57 = 1,247.22 : x
  2. Step 2: Convert to fraction form
    2,709.34/4,062.57 = 1,247.22/x
  3. Step 3: Cross multiply
    2,709.34x = 4,062.57 × 1,247.22
  4. Step 4: Simplify right side
    2,709.34x = 5,066,918.56
  5. Step 5: Solve for x
    x = 5,066,918.56/2,709.34
  6. Step 6: Final answer
    x = 1,870.17

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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.