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Finding the Fourth Proportional to 2,051.51, 3,077.19 and 664.83

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Solution

The fourth proportional to 2,051.51, 3,077.19 and 664.83 is: 997.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,051.51 : 3,077.19 = 664.83 : x
  2. Step 2: Convert to fraction form
    2,051.51/3,077.19 = 664.83/x
  3. Step 3: Cross multiply
    2,051.51x = 3,077.19 × 664.83
  4. Step 4: Simplify right side
    2,051.51x = 2,045,808.23
  5. Step 5: Solve for x
    x = 2,045,808.23/2,051.51
  6. Step 6: Final answer
    x = 997.22

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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.