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Finding the Fourth Proportional to 2,007.61, 2,770.06 and 1,261.30

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Solution

The fourth proportional to 2,007.61, 2,770.06 and 1,261.30 is: 1,740.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,007.61 : 2,770.06 = 1,261.30 : x
  2. Step 2: Convert to fraction form
    2,007.61/2,770.06 = 1,261.30/x
  3. Step 3: Cross multiply
    2,007.61x = 2,770.06 × 1,261.30
  4. Step 4: Simplify right side
    2,007.61x = 3,493,876.68
  5. Step 5: Solve for x
    x = 3,493,876.68/2,007.61
  6. Step 6: Final answer
    x = 1,740.32

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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.