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Finding the Fourth Proportional to 3,412.22, 4,708.84 and 1,920.15

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Solution

The fourth proportional to 3,412.22, 4,708.84 and 1,920.15 is: 2,649.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,412.22 : 4,708.84 = 1,920.15 : x
  2. Step 2: Convert to fraction form
    3,412.22/4,708.84 = 1,920.15/x
  3. Step 3: Cross multiply
    3,412.22x = 4,708.84 × 1,920.15
  4. Step 4: Simplify right side
    3,412.22x = 9,041,662.55
  5. Step 5: Solve for x
    x = 9,041,662.55/3,412.22
  6. Step 6: Final answer
    x = 2,649.79

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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.