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Finding the Fourth Proportional to 2,051.83, 3,077.66 and 818.91

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Solution

The fourth proportional to 2,051.83, 3,077.66 and 818.91 is: 1,228.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,051.83 : 3,077.66 = 818.91 : x
  2. Step 2: Convert to fraction form
    2,051.83/3,077.66 = 818.91/x
  3. Step 3: Cross multiply
    2,051.83x = 3,077.66 × 818.91
  4. Step 4: Simplify right side
    2,051.83x = 2,520,311.16
  5. Step 5: Solve for x
    x = 2,520,311.16/2,051.83
  6. Step 6: Final answer
    x = 1,228.33

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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.