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Finding the Fourth Proportional to 2,965.40, 4,448.10 and 1,874.60

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Solution

The fourth proportional to 2,965.40, 4,448.10 and 1,874.60 is: 2,811.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,965.40 : 4,448.10 = 1,874.60 : x
  2. Step 2: Convert to fraction form
    2,965.40/4,448.10 = 1,874.60/x
  3. Step 3: Cross multiply
    2,965.40x = 4,448.10 × 1,874.60
  4. Step 4: Simplify right side
    2,965.40x = 8,338,408.26
  5. Step 5: Solve for x
    x = 8,338,408.26/2,965.40
  6. Step 6: Final answer
    x = 2,811.90

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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.