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Finding the Fourth Proportional to 2,709.47, 3,739.07 and 1,467.47

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Solution

The fourth proportional to 2,709.47, 3,739.07 and 1,467.47 is: 2,025.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,709.47 : 3,739.07 = 1,467.47 : x
  2. Step 2: Convert to fraction form
    2,709.47/3,739.07 = 1,467.47/x
  3. Step 3: Cross multiply
    2,709.47x = 3,739.07 × 1,467.47
  4. Step 4: Simplify right side
    2,709.47x = 5,486,975.06
  5. Step 5: Solve for x
    x = 5,486,975.06/2,709.47
  6. Step 6: Final answer
    x = 2,025.11

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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.