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Finding the Fourth Proportional to 3,466.62, 4,780.63 and 2,269.82

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Solution

The fourth proportional to 3,466.62, 4,780.63 and 2,269.82 is: 3,130.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,466.62 : 4,780.63 = 2,269.82 : x
  2. Step 2: Convert to fraction form
    3,466.62/4,780.63 = 2,269.82/x
  3. Step 3: Cross multiply
    3,466.62x = 4,780.63 × 2,269.82
  4. Step 4: Simplify right side
    3,466.62x = 10,851,169.59
  5. Step 5: Solve for x
    x = 10,851,169.59/3,466.62
  6. Step 6: Final answer
    x = 3,130.19

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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.