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Finding the Fourth Proportional to 3,412.64, 4,709.20 and 1,920.27

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Solution

The fourth proportional to 3,412.64, 4,709.20 and 1,920.27 is: 2,649.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,412.64 : 4,709.20 = 1,920.27 : x
  2. Step 2: Convert to fraction form
    3,412.64/4,709.20 = 1,920.27/x
  3. Step 3: Cross multiply
    3,412.64x = 4,709.20 × 1,920.27
  4. Step 4: Simplify right side
    3,412.64x = 9,042,935.48
  5. Step 5: Solve for x
    x = 9,042,935.48/3,412.64
  6. Step 6: Final answer
    x = 2,649.84

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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.