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Finding the Fourth Proportional to 2,720.49, 4,080.40 and 746.28

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Solution

The fourth proportional to 2,720.49, 4,080.40 and 746.28 is: 1,119.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,720.49 : 4,080.40 = 746.28 : x
  2. Step 2: Convert to fraction form
    2,720.49/4,080.40 = 746.28/x
  3. Step 3: Cross multiply
    2,720.49x = 4,080.40 × 746.28
  4. Step 4: Simplify right side
    2,720.49x = 3,045,103.93
  5. Step 5: Solve for x
    x = 3,045,103.93/2,720.49
  6. Step 6: Final answer
    x = 1,119.32

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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.