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Finding the Fourth Proportional to 3,296.27, 4,549.28 and 1,970.84

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Solution

The fourth proportional to 3,296.27, 4,549.28 and 1,970.84 is: 2,720.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,296.27 : 4,549.28 = 1,970.84 : x
  2. Step 2: Convert to fraction form
    3,296.27/4,549.28 = 1,970.84/x
  3. Step 3: Cross multiply
    3,296.27x = 4,549.28 × 1,970.84
  4. Step 4: Simplify right side
    3,296.27x = 8,965,870.39
  5. Step 5: Solve for x
    x = 8,965,870.39/3,296.27
  6. Step 6: Final answer
    x = 2,720.01

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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.