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Finding the Fourth Proportional to 3,147.49, 4,721.14 and 1,297.19

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Solution

The fourth proportional to 3,147.49, 4,721.14 and 1,297.19 is: 1,945.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,147.49 : 4,721.14 = 1,297.19 : x
  2. Step 2: Convert to fraction form
    3,147.49/4,721.14 = 1,297.19/x
  3. Step 3: Cross multiply
    3,147.49x = 4,721.14 × 1,297.19
  4. Step 4: Simplify right side
    3,147.49x = 6,124,224.16
  5. Step 5: Solve for x
    x = 6,124,224.16/3,147.49
  6. Step 6: Final answer
    x = 1,945.75

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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.