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Finding the Fourth Proportional to 2,007.01, 3,008.38 and 773.89

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Solution

The fourth proportional to 2,007.01, 3,008.38 and 773.89 is: 1,160.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,007.01 : 3,008.38 = 773.89 : x
  2. Step 2: Convert to fraction form
    2,007.01/3,008.38 = 773.89/x
  3. Step 3: Cross multiply
    2,007.01x = 3,008.38 × 773.89
  4. Step 4: Simplify right side
    2,007.01x = 2,328,155.20
  5. Step 5: Solve for x
    x = 2,328,155.20/2,007.01
  6. Step 6: Final answer
    x = 1,160.01

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