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Finding the Fourth Proportional to 2,606.49, 3,596.81 and 1,427.36

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Solution

The fourth proportional to 2,606.49, 3,596.81 and 1,427.36 is: 1,969.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,606.49 : 3,596.81 = 1,427.36 : x
  2. Step 2: Convert to fraction form
    2,606.49/3,596.81 = 1,427.36/x
  3. Step 3: Cross multiply
    2,606.49x = 3,596.81 × 1,427.36
  4. Step 4: Simplify right side
    2,606.49x = 5,133,917.60
  5. Step 5: Solve for x
    x = 5,133,917.60/2,606.49
  6. Step 6: Final answer
    x = 1,969.67

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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.