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Finding the Fourth Proportional to 3,403.69, 4,698.20 and 2,284.22

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Solution

The fourth proportional to 3,403.69, 4,698.20 and 2,284.22 is: 3,152.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,403.69 : 4,698.20 = 2,284.22 : x
  2. Step 2: Convert to fraction form
    3,403.69/4,698.20 = 2,284.22/x
  3. Step 3: Cross multiply
    3,403.69x = 4,698.20 × 2,284.22
  4. Step 4: Simplify right side
    3,403.69x = 10,731,739.86
  5. Step 5: Solve for x
    x = 10,731,739.86/3,403.69
  6. Step 6: Final answer
    x = 3,152.97

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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.