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Finding the Fourth Proportional to 2,509.95, 3,753.99 and 1,467.48

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Solution

The fourth proportional to 2,509.95, 3,753.99 and 1,467.48 is: 2,194.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,509.95 : 3,753.99 = 1,467.48 : x
  2. Step 2: Convert to fraction form
    2,509.95/3,753.99 = 1,467.48/x
  3. Step 3: Cross multiply
    2,509.95x = 3,753.99 × 1,467.48
  4. Step 4: Simplify right side
    2,509.95x = 5,508,905.25
  5. Step 5: Solve for x
    x = 5,508,905.25/2,509.95
  6. Step 6: Final answer
    x = 2,194.83

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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.