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Finding the Fourth Proportional to 3,144.27, 4,713.07 and 1,497.34

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Solution

The fourth proportional to 3,144.27, 4,713.07 and 1,497.34 is: 2,244.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,144.27 : 4,713.07 = 1,497.34 : x
  2. Step 2: Convert to fraction form
    3,144.27/4,713.07 = 1,497.34/x
  3. Step 3: Cross multiply
    3,144.27x = 4,713.07 × 1,497.34
  4. Step 4: Simplify right side
    3,144.27x = 7,057,068.23
  5. Step 5: Solve for x
    x = 7,057,068.23/3,144.27
  6. Step 6: Final answer
    x = 2,244.42

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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.