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Finding the Fourth Proportional to 1,838.22, 2,740.98 and 1,805.46

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Solution

The fourth proportional to 1,838.22, 2,740.98 and 1,805.46 is: 2,692.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,838.22 : 2,740.98 = 1,805.46 : x
  2. Step 2: Convert to fraction form
    1,838.22/2,740.98 = 1,805.46/x
  3. Step 3: Cross multiply
    1,838.22x = 2,740.98 × 1,805.46
  4. Step 4: Simplify right side
    1,838.22x = 4,948,729.75
  5. Step 5: Solve for x
    x = 4,948,729.75/1,838.22
  6. Step 6: Final answer
    x = 2,692.13

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.