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Finding the Fourth Proportional to 2,651.64, 3,660.91 and 1,709.06

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Solution

The fourth proportional to 2,651.64, 3,660.91 and 1,709.06 is: 2,359.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,651.64 : 3,660.91 = 1,709.06 : x
  2. Step 2: Convert to fraction form
    2,651.64/3,660.91 = 1,709.06/x
  3. Step 3: Cross multiply
    2,651.64x = 3,660.91 × 1,709.06
  4. Step 4: Simplify right side
    2,651.64x = 6,256,692.27
  5. Step 5: Solve for x
    x = 6,256,692.27/2,651.64
  6. Step 6: Final answer
    x = 2,359.56

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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.