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Finding the Fourth Proportional to 3,185.10, 4,777.86 and 964.26

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Solution

The fourth proportional to 3,185.10, 4,777.86 and 964.26 is: 1,446.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,185.10 : 4,777.86 = 964.26 : x
  2. Step 2: Convert to fraction form
    3,185.10/4,777.86 = 964.26/x
  3. Step 3: Cross multiply
    3,185.10x = 4,777.86 × 964.26
  4. Step 4: Simplify right side
    3,185.10x = 4,607,099.28
  5. Step 5: Solve for x
    x = 4,607,099.28/3,185.10
  6. Step 6: Final answer
    x = 1,446.45

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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.