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Finding the Fourth Proportional to 3,101.49, 4,643.94 and 2,609.42

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Solution

The fourth proportional to 3,101.49, 4,643.94 and 2,609.42 is: 3,907.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,101.49 : 4,643.94 = 2,609.42 : x
  2. Step 2: Convert to fraction form
    3,101.49/4,643.94 = 2,609.42/x
  3. Step 3: Cross multiply
    3,101.49x = 4,643.94 × 2,609.42
  4. Step 4: Simplify right side
    3,101.49x = 12,117,961.80
  5. Step 5: Solve for x
    x = 12,117,961.80/3,101.49
  6. Step 6: Final answer
    x = 3,907.14

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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.