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Finding the Fourth Proportional to 2,368.28, 3,266.78 and 1,571.64

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Solution

The fourth proportional to 2,368.28, 3,266.78 and 1,571.64 is: 2,167.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,368.28 : 3,266.78 = 1,571.64 : x
  2. Step 2: Convert to fraction form
    2,368.28/3,266.78 = 1,571.64/x
  3. Step 3: Cross multiply
    2,368.28x = 3,266.78 × 1,571.64
  4. Step 4: Simplify right side
    2,368.28x = 5,134,194.26
  5. Step 5: Solve for x
    x = 5,134,194.26/2,368.28
  6. Step 6: Final answer
    x = 2,167.90

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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.