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Finding the Fourth Proportional to 2,965.66, 4,079.81 and 2,564.33

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Solution

The fourth proportional to 2,965.66, 4,079.81 and 2,564.33 is: 3,527.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,965.66 : 4,079.81 = 2,564.33 : x
  2. Step 2: Convert to fraction form
    2,965.66/4,079.81 = 2,564.33/x
  3. Step 3: Cross multiply
    2,965.66x = 4,079.81 × 2,564.33
  4. Step 4: Simplify right side
    2,965.66x = 10,461,956.16
  5. Step 5: Solve for x
    x = 10,461,956.16/2,965.66
  6. Step 6: Final answer
    x = 3,527.70

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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.