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Finding the Fourth Proportional to 1,813.22, 2,718.55 and 935.35

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Solution

The fourth proportional to 1,813.22, 2,718.55 and 935.35 is: 1,402.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,813.22 : 2,718.55 = 935.35 : x
  2. Step 2: Convert to fraction form
    1,813.22/2,718.55 = 935.35/x
  3. Step 3: Cross multiply
    1,813.22x = 2,718.55 × 935.35
  4. Step 4: Simplify right side
    1,813.22x = 2,542,800.31
  5. Step 5: Solve for x
    x = 2,542,800.31/1,813.22
  6. Step 6: Final answer
    x = 1,402.37

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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.