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Finding the Fourth Proportional to 2,509.22, 3,764.72 and 1,122.44

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Solution

The fourth proportional to 2,509.22, 3,764.72 and 1,122.44 is: 1,684.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,509.22 : 3,764.72 = 1,122.44 : x
  2. Step 2: Convert to fraction form
    2,509.22/3,764.72 = 1,122.44/x
  3. Step 3: Cross multiply
    2,509.22x = 3,764.72 × 1,122.44
  4. Step 4: Simplify right side
    2,509.22x = 4,225,656.30
  5. Step 5: Solve for x
    x = 4,225,656.30/2,509.22
  6. Step 6: Final answer
    x = 1,684.05

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.