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Finding the Fourth Proportional to 2,005.73, 3,008.60 and 772.91

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Solution

The fourth proportional to 2,005.73, 3,008.60 and 772.91 is: 1,159.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,005.73 : 3,008.60 = 772.91 : x
  2. Step 2: Convert to fraction form
    2,005.73/3,008.60 = 772.91/x
  3. Step 3: Cross multiply
    2,005.73x = 3,008.60 × 772.91
  4. Step 4: Simplify right side
    2,005.73x = 2,325,373.16
  5. Step 5: Solve for x
    x = 2,325,373.16/2,005.73
  6. Step 6: Final answer
    x = 1,159.37

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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.