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Finding the Fourth Proportional to 2,131.86, 2,941.62 and 1,247.64

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Solution

The fourth proportional to 2,131.86, 2,941.62 and 1,247.64 is: 1,721.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,131.86 : 2,941.62 = 1,247.64 : x
  2. Step 2: Convert to fraction form
    2,131.86/2,941.62 = 1,247.64/x
  3. Step 3: Cross multiply
    2,131.86x = 2,941.62 × 1,247.64
  4. Step 4: Simplify right side
    2,131.86x = 3,670,082.78
  5. Step 5: Solve for x
    x = 3,670,082.78/2,131.86
  6. Step 6: Final answer
    x = 1,721.54

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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.