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Finding the Fourth Proportional to 2,030.29, 3,046.65 and 797.83

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Solution

The fourth proportional to 2,030.29, 3,046.65 and 797.83 is: 1,197.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,030.29 : 3,046.65 = 797.83 : x
  2. Step 2: Convert to fraction form
    2,030.29/3,046.65 = 797.83/x
  3. Step 3: Cross multiply
    2,030.29x = 3,046.65 × 797.83
  4. Step 4: Simplify right side
    2,030.29x = 2,430,708.77
  5. Step 5: Solve for x
    x = 2,430,708.77/2,030.29
  6. Step 6: Final answer
    x = 1,197.22

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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.