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Finding the Fourth Proportional to 1,464.83, 2,022.20 and 995.21

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Solution

The fourth proportional to 1,464.83, 2,022.20 and 995.21 is: 1,373.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,464.83 : 2,022.20 = 995.21 : x
  2. Step 2: Convert to fraction form
    1,464.83/2,022.20 = 995.21/x
  3. Step 3: Cross multiply
    1,464.83x = 2,022.20 × 995.21
  4. Step 4: Simplify right side
    1,464.83x = 2,012,508.69
  5. Step 5: Solve for x
    x = 2,012,508.69/1,464.83
  6. Step 6: Final answer
    x = 1,373.89

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.