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Finding the Fourth Proportional to 2,007.10, 2,769.69 and 1,260.82

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Solution

The fourth proportional to 2,007.10, 2,769.69 and 1,260.82 is: 1,739.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,007.10 : 2,769.69 = 1,260.82 : x
  2. Step 2: Convert to fraction form
    2,007.10/2,769.69 = 1,260.82/x
  3. Step 3: Cross multiply
    2,007.10x = 2,769.69 × 1,260.82
  4. Step 4: Simplify right side
    2,007.10x = 3,492,080.55
  5. Step 5: Solve for x
    x = 3,492,080.55/2,007.10
  6. Step 6: Final answer
    x = 1,739.86

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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.