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Finding the Fourth Proportional to 2,242.54, 3,094.59 and 1,247.82

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Solution

The fourth proportional to 2,242.54, 3,094.59 and 1,247.82 is: 1,721.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,242.54 : 3,094.59 = 1,247.82 : x
  2. Step 2: Convert to fraction form
    2,242.54/3,094.59 = 1,247.82/x
  3. Step 3: Cross multiply
    2,242.54x = 3,094.59 × 1,247.82
  4. Step 4: Simplify right side
    2,242.54x = 3,861,491.29
  5. Step 5: Solve for x
    x = 3,861,491.29/2,242.54
  6. Step 6: Final answer
    x = 1,721.93

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.