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Finding the Fourth Proportional to 2,032.83, 3,048.98 and 799.91

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Solution

The fourth proportional to 2,032.83, 3,048.98 and 799.91 is: 1,199.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,032.83 : 3,048.98 = 799.91 : x
  2. Step 2: Convert to fraction form
    2,032.83/3,048.98 = 799.91/x
  3. Step 3: Cross multiply
    2,032.83x = 3,048.98 × 799.91
  4. Step 4: Simplify right side
    2,032.83x = 2,438,909.59
  5. Step 5: Solve for x
    x = 2,438,909.59/2,032.83
  6. Step 6: Final answer
    x = 1,199.76

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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.