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Finding the Fourth Proportional to 4,910.64, 7,366.44 and 1,448.88

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Solution

The fourth proportional to 4,910.64, 7,366.44 and 1,448.88 is: 2,173.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,910.64 : 7,366.44 = 1,448.88 : x
  2. Step 2: Convert to fraction form
    4,910.64/7,366.44 = 1,448.88/x
  3. Step 3: Cross multiply
    4,910.64x = 7,366.44 × 1,448.88
  4. Step 4: Simplify right side
    4,910.64x = 10,673,087.59
  5. Step 5: Solve for x
    x = 10,673,087.59/4,910.64
  6. Step 6: Final answer
    x = 2,173.46

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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.