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Finding the Fourth Proportional to 2,242.55, 3,094.30 and 1,247.83

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Solution

The fourth proportional to 2,242.55, 3,094.30 and 1,247.83 is: 1,721.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,242.55 : 3,094.30 = 1,247.83 : x
  2. Step 2: Convert to fraction form
    2,242.55/3,094.30 = 1,247.83/x
  3. Step 3: Cross multiply
    2,242.55x = 3,094.30 × 1,247.83
  4. Step 4: Simplify right side
    2,242.55x = 3,861,154.19
  5. Step 5: Solve for x
    x = 3,861,154.19/2,242.55
  6. Step 6: Final answer
    x = 1,721.77

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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.