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Finding the Fourth Proportional to 2,965.40, 4,448.10 and 2,600.60

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Solution

The fourth proportional to 2,965.40, 4,448.10 and 2,600.60 is: 3,900.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,965.40 : 4,448.10 = 2,600.60 : x
  2. Step 2: Convert to fraction form
    2,965.40/4,448.10 = 2,600.60/x
  3. Step 3: Cross multiply
    2,965.40x = 4,448.10 × 2,600.60
  4. Step 4: Simplify right side
    2,965.40x = 11,567,728.86
  5. Step 5: Solve for x
    x = 11,567,728.86/2,965.40
  6. Step 6: Final answer
    x = 3,900.90

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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.