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Finding the Fourth Proportional to 3,197.30, 4,412.26 and 1,781

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Solution

The fourth proportional to 3,197.30, 4,412.26 and 1,781 is: 2,457.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,197.30 : 4,412.26 = 1,781 : x
  2. Step 2: Convert to fraction form
    3,197.30/4,412.26 = 1,781/x
  3. Step 3: Cross multiply
    3,197.30x = 4,412.26 × 1,781
  4. Step 4: Simplify right side
    3,197.30x = 7,858,226.16
  5. Step 5: Solve for x
    x = 7,858,226.16/3,197.30
  6. Step 6: Final answer
    x = 2,457.77

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Why These Related Problems?

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