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Finding the Fourth Proportional to 3,296.84, 4,549.49 and 1,971.27

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Solution

The fourth proportional to 3,296.84, 4,549.49 and 1,971.27 is: 2,720.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,296.84 : 4,549.49 = 1,971.27 : x
  2. Step 2: Convert to fraction form
    3,296.84/4,549.49 = 1,971.27/x
  3. Step 3: Cross multiply
    3,296.84x = 4,549.49 × 1,971.27
  4. Step 4: Simplify right side
    3,296.84x = 8,968,263.30
  5. Step 5: Solve for x
    x = 8,968,263.30/3,296.84
  6. Step 6: Final answer
    x = 2,720.26

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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.