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Finding the Fourth Proportional to 2,505.68, 3,757.56 and 1,478.48

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Solution

The fourth proportional to 2,505.68, 3,757.56 and 1,478.48 is: 2,217.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,505.68 : 3,757.56 = 1,478.48 : x
  2. Step 2: Convert to fraction form
    2,505.68/3,757.56 = 1,478.48/x
  3. Step 3: Cross multiply
    2,505.68x = 3,757.56 × 1,478.48
  4. Step 4: Simplify right side
    2,505.68x = 5,555,477.31
  5. Step 5: Solve for x
    x = 5,555,477.31/2,505.68
  6. Step 6: Final answer
    x = 2,217.15

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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.