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Finding the Fourth Proportional to 3,185.82, 4,777.52 and 964.19

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Solution

The fourth proportional to 3,185.82, 4,777.52 and 964.19 is: 1,445.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,185.82 : 4,777.52 = 964.19 : x
  2. Step 2: Convert to fraction form
    3,185.82/4,777.52 = 964.19/x
  3. Step 3: Cross multiply
    3,185.82x = 4,777.52 × 964.19
  4. Step 4: Simplify right side
    3,185.82x = 4,606,432.19
  5. Step 5: Solve for x
    x = 4,606,432.19/3,185.82
  6. Step 6: Final answer
    x = 1,445.92

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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.