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Finding the Fourth Proportional to 2,051.53, 3,077.02 and 664.72

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Solution

The fourth proportional to 2,051.53, 3,077.02 and 664.72 is: 996.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,051.53 : 3,077.02 = 664.72 : x
  2. Step 2: Convert to fraction form
    2,051.53/3,077.02 = 664.72/x
  3. Step 3: Cross multiply
    2,051.53x = 3,077.02 × 664.72
  4. Step 4: Simplify right side
    2,051.53x = 2,045,356.73
  5. Step 5: Solve for x
    x = 2,045,356.73/2,051.53
  6. Step 6: Final answer
    x = 996.99

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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.