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Finding the Fourth Proportional to 2,709.64, 4,064.66 and 1,324.13

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Solution

The fourth proportional to 2,709.64, 4,064.66 and 1,324.13 is: 1,986.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,709.64 : 4,064.66 = 1,324.13 : x
  2. Step 2: Convert to fraction form
    2,709.64/4,064.66 = 1,324.13/x
  3. Step 3: Cross multiply
    2,709.64x = 4,064.66 × 1,324.13
  4. Step 4: Simplify right side
    2,709.64x = 5,382,131.63
  5. Step 5: Solve for x
    x = 5,382,131.63/2,709.64
  6. Step 6: Final answer
    x = 1,986.29

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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.