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Finding the Fourth Proportional to 2,606.00, 3,596.27 and 1,427.04

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Solution

The fourth proportional to 2,606.00, 3,596.27 and 1,427.04 is: 1,969.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,606.00 : 3,596.27 = 1,427.04 : x
  2. Step 2: Convert to fraction form
    2,606.00/3,596.27 = 1,427.04/x
  3. Step 3: Cross multiply
    2,606.00x = 3,596.27 × 1,427.04
  4. Step 4: Simplify right side
    2,606.00x = 5,132,014.01
  5. Step 5: Solve for x
    x = 5,132,014.01/2,606.00
  6. Step 6: Final answer
    x = 1,969.31

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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.