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Finding the Fourth Proportional to 3,464.13, 4,780.22 and 1,951.82

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Solution

The fourth proportional to 3,464.13, 4,780.22 and 1,951.82 is: 2,693.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,464.13 : 4,780.22 = 1,951.82 : x
  2. Step 2: Convert to fraction form
    3,464.13/4,780.22 = 1,951.82/x
  3. Step 3: Cross multiply
    3,464.13x = 4,780.22 × 1,951.82
  4. Step 4: Simplify right side
    3,464.13x = 9,330,095.34
  5. Step 5: Solve for x
    x = 9,330,095.34/3,464.13
  6. Step 6: Final answer
    x = 2,693.34

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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.