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Finding the Fourth Proportional to 3,466.80, 4,782.17 and 2,205.63

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Solution

The fourth proportional to 3,466.80, 4,782.17 and 2,205.63 is: 3,042.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,466.80 : 4,782.17 = 2,205.63 : x
  2. Step 2: Convert to fraction form
    3,466.80/4,782.17 = 2,205.63/x
  3. Step 3: Cross multiply
    3,466.80x = 4,782.17 × 2,205.63
  4. Step 4: Simplify right side
    3,466.80x = 10,547,703.13
  5. Step 5: Solve for x
    x = 10,547,703.13/3,466.80
  6. Step 6: Final answer
    x = 3,042.49

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