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Finding the Fourth Proportional to 2,109.44, 2,910.72 and 1,225.28

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Solution

The fourth proportional to 2,109.44, 2,910.72 and 1,225.28 is: 1,690.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,109.44 : 2,910.72 = 1,225.28 : x
  2. Step 2: Convert to fraction form
    2,109.44/2,910.72 = 1,225.28/x
  3. Step 3: Cross multiply
    2,109.44x = 2,910.72 × 1,225.28
  4. Step 4: Simplify right side
    2,109.44x = 3,566,447.00
  5. Step 5: Solve for x
    x = 3,566,447.00/2,109.44
  6. Step 6: Final answer
    x = 1,690.71

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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.