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Finding the Fourth Proportional to 1,642.09, 2,268.98 and 1,313.23

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Solution

The fourth proportional to 1,642.09, 2,268.98 and 1,313.23 is: 1,814.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,642.09 : 2,268.98 = 1,313.23 : x
  2. Step 2: Convert to fraction form
    1,642.09/2,268.98 = 1,313.23/x
  3. Step 3: Cross multiply
    1,642.09x = 2,268.98 × 1,313.23
  4. Step 4: Simplify right side
    1,642.09x = 2,979,692.61
  5. Step 5: Solve for x
    x = 2,979,692.61/1,642.09
  6. Step 6: Final answer
    x = 1,814.57

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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.