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Finding the Fourth Proportional to 2,720.25, 3,753.99 and 1,478.25

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Solution

The fourth proportional to 2,720.25, 3,753.99 and 1,478.25 is: 2,040.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,720.25 : 3,753.99 = 1,478.25 : x
  2. Step 2: Convert to fraction form
    2,720.25/3,753.99 = 1,478.25/x
  3. Step 3: Cross multiply
    2,720.25x = 3,753.99 × 1,478.25
  4. Step 4: Simplify right side
    2,720.25x = 5,549,335.72
  5. Step 5: Solve for x
    x = 5,549,335.72/2,720.25
  6. Step 6: Final answer
    x = 2,040.01

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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.