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Finding the Fourth Proportional to 2,051.82, 3,077.77 and 665.15

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Solution

The fourth proportional to 2,051.82, 3,077.77 and 665.15 is: 997.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,051.82 : 3,077.77 = 665.15 : x
  2. Step 2: Convert to fraction form
    2,051.82/3,077.77 = 665.15/x
  3. Step 3: Cross multiply
    2,051.82x = 3,077.77 × 665.15
  4. Step 4: Simplify right side
    2,051.82x = 2,047,188.88
  5. Step 5: Solve for x
    x = 2,047,188.88/2,051.82
  6. Step 6: Final answer
    x = 997.74

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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.