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Finding the Fourth Proportional to 2,662.98, 3,675.26 and 1,919.40

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Solution

The fourth proportional to 2,662.98, 3,675.26 and 1,919.40 is: 2,649.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,662.98 : 3,675.26 = 1,919.40 : x
  2. Step 2: Convert to fraction form
    2,662.98/3,675.26 = 1,919.40/x
  3. Step 3: Cross multiply
    2,662.98x = 3,675.26 × 1,919.40
  4. Step 4: Simplify right side
    2,662.98x = 7,054,294.04
  5. Step 5: Solve for x
    x = 7,054,294.04/2,662.98
  6. Step 6: Final answer
    x = 2,649.02

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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.