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Finding the Fourth Proportional to 3,297.08, 4,548.08 and 1,970.30

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Solution

The fourth proportional to 3,297.08, 4,548.08 and 1,970.30 is: 2,717.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,297.08 : 4,548.08 = 1,970.30 : x
  2. Step 2: Convert to fraction form
    3,297.08/4,548.08 = 1,970.30/x
  3. Step 3: Cross multiply
    3,297.08x = 4,548.08 × 1,970.30
  4. Step 4: Simplify right side
    3,297.08x = 8,961,082.02
  5. Step 5: Solve for x
    x = 8,961,082.02/3,297.08
  6. Step 6: Final answer
    x = 2,717.88

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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.