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Finding the Fourth Proportional to 2,368.44, 3,542.00 and 1,813.32

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Solution

The fourth proportional to 2,368.44, 3,542.00 and 1,813.32 is: 2,711.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,368.44 : 3,542.00 = 1,813.32 : x
  2. Step 2: Convert to fraction form
    2,368.44/3,542.00 = 1,813.32/x
  3. Step 3: Cross multiply
    2,368.44x = 3,542.00 × 1,813.32
  4. Step 4: Simplify right side
    2,368.44x = 6,422,770.37
  5. Step 5: Solve for x
    x = 6,422,770.37/2,368.44
  6. Step 6: Final answer
    x = 2,711.81

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.