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Finding the Fourth Proportional to 3,461.43, 4,782 and 2,269.26

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Solution

The fourth proportional to 3,461.43, 4,782 and 2,269.26 is: 3,135.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,461.43 : 4,782 = 2,269.26 : x
  2. Step 2: Convert to fraction form
    3,461.43/4,782 = 2,269.26/x
  3. Step 3: Cross multiply
    3,461.43x = 4,782 × 2,269.26
  4. Step 4: Simplify right side
    3,461.43x = 10,851,601.32
  5. Step 5: Solve for x
    x = 10,851,601.32/3,461.43
  6. Step 6: Final answer
    x = 3,135.01

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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.