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Finding the Fourth Proportional to 2,606.94, 3,911.58 and 1,309.32

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Solution

The fourth proportional to 2,606.94, 3,911.58 and 1,309.32 is: 1,964.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,606.94 : 3,911.58 = 1,309.32 : x
  2. Step 2: Convert to fraction form
    2,606.94/3,911.58 = 1,309.32/x
  3. Step 3: Cross multiply
    2,606.94x = 3,911.58 × 1,309.32
  4. Step 4: Simplify right side
    2,606.94x = 5,121,509.93
  5. Step 5: Solve for x
    x = 5,121,509.93/2,606.94
  6. Step 6: Final answer
    x = 1,964.57

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.