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Finding the Fourth Proportional to 1,920.56, 2,649.96 and 1,223.12

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Solution

The fourth proportional to 1,920.56, 2,649.96 and 1,223.12 is: 1,687.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,920.56 : 2,649.96 = 1,223.12 : x
  2. Step 2: Convert to fraction form
    1,920.56/2,649.96 = 1,223.12/x
  3. Step 3: Cross multiply
    1,920.56x = 2,649.96 × 1,223.12
  4. Step 4: Simplify right side
    1,920.56x = 3,241,219.08
  5. Step 5: Solve for x
    x = 3,241,219.08/1,920.56
  6. Step 6: Final answer
    x = 1,687.64

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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.