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Finding the Fourth Proportional to 2,005.72, 3,008.70 and 773.13

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Solution

The fourth proportional to 2,005.72, 3,008.70 and 773.13 is: 1,159.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,005.72 : 3,008.70 = 773.13 : x
  2. Step 2: Convert to fraction form
    2,005.72/3,008.70 = 773.13/x
  3. Step 3: Cross multiply
    2,005.72x = 3,008.70 × 773.13
  4. Step 4: Simplify right side
    2,005.72x = 2,326,123.83
  5. Step 5: Solve for x
    x = 2,326,123.83/2,005.72
  6. Step 6: Final answer
    x = 1,159.75

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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.