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Finding the Fourth Proportional to 2,694.64, 4,041.93 and 720.27

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Solution

The fourth proportional to 2,694.64, 4,041.93 and 720.27 is: 1,080.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,694.64 : 4,041.93 = 720.27 : x
  2. Step 2: Convert to fraction form
    2,694.64/4,041.93 = 720.27/x
  3. Step 3: Cross multiply
    2,694.64x = 4,041.93 × 720.27
  4. Step 4: Simplify right side
    2,694.64x = 2,911,260.71
  5. Step 5: Solve for x
    x = 2,911,260.71/2,694.64
  6. Step 6: Final answer
    x = 1,080.39

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.