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Finding the Fourth Proportional to 2,006.07, 2,768.25 and 1,260

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Solution

The fourth proportional to 2,006.07, 2,768.25 and 1,260 is: 1,738.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,006.07 : 2,768.25 = 1,260 : x
  2. Step 2: Convert to fraction form
    2,006.07/2,768.25 = 1,260/x
  3. Step 3: Cross multiply
    2,006.07x = 2,768.25 × 1,260
  4. Step 4: Simplify right side
    2,006.07x = 3,487,995
  5. Step 5: Solve for x
    x = 3,487,995/2,006.07
  6. Step 6: Final answer
    x = 1,738.72

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.