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Finding the Fourth Proportional to 2,709.10, 3,738.55 and 1,467.10

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Solution

The fourth proportional to 2,709.10, 3,738.55 and 1,467.10 is: 2,024.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,709.10 : 3,738.55 = 1,467.10 : x
  2. Step 2: Convert to fraction form
    2,709.10/3,738.55 = 1,467.10/x
  3. Step 3: Cross multiply
    2,709.10x = 3,738.55 × 1,467.10
  4. Step 4: Simplify right side
    2,709.10x = 5,484,808.01
  5. Step 5: Solve for x
    x = 5,484,808.01/2,709.10
  6. Step 6: Final answer
    x = 2,024.59

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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.