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Finding the Fourth Proportional to 2,322.91, 3,206.06 and 1,439.11

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Solution

The fourth proportional to 2,322.91, 3,206.06 and 1,439.11 is: 1,986.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,322.91 : 3,206.06 = 1,439.11 : x
  2. Step 2: Convert to fraction form
    2,322.91/3,206.06 = 1,439.11/x
  3. Step 3: Cross multiply
    2,322.91x = 3,206.06 × 1,439.11
  4. Step 4: Simplify right side
    2,322.91x = 4,613,873.01
  5. Step 5: Solve for x
    x = 4,613,873.01/2,322.91
  6. Step 6: Final answer
    x = 1,986.25

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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.