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Finding the Fourth Proportional to 2,367.98, 3,268.63 and 1,624.40

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Solution

The fourth proportional to 2,367.98, 3,268.63 and 1,624.40 is: 2,242.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,367.98 : 3,268.63 = 1,624.40 : x
  2. Step 2: Convert to fraction form
    2,367.98/3,268.63 = 1,624.40/x
  3. Step 3: Cross multiply
    2,367.98x = 3,268.63 × 1,624.40
  4. Step 4: Simplify right side
    2,367.98x = 5,309,542.17
  5. Step 5: Solve for x
    x = 5,309,542.17/2,367.98
  6. Step 6: Final answer
    x = 2,242.23

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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.