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Finding the Fourth Proportional to 3,298.00, 4,550.63 and 1,971.42

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Solution

The fourth proportional to 3,298.00, 4,550.63 and 1,971.42 is: 2,720.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,298.00 : 4,550.63 = 1,971.42 : x
  2. Step 2: Convert to fraction form
    3,298.00/4,550.63 = 1,971.42/x
  3. Step 3: Cross multiply
    3,298.00x = 4,550.63 × 1,971.42
  4. Step 4: Simplify right side
    3,298.00x = 8,971,193.14
  5. Step 5: Solve for x
    x = 8,971,193.14/3,298.00
  6. Step 6: Final answer
    x = 2,720.19

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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.