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Finding the Fourth Proportional to 2,935.82, 4,400.96 and 986.63

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Solution

The fourth proportional to 2,935.82, 4,400.96 and 986.63 is: 1,479.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,935.82 : 4,400.96 = 986.63 : x
  2. Step 2: Convert to fraction form
    2,935.82/4,400.96 = 986.63/x
  3. Step 3: Cross multiply
    2,935.82x = 4,400.96 × 986.63
  4. Step 4: Simplify right side
    2,935.82x = 4,342,092.23
  5. Step 5: Solve for x
    x = 4,342,092.23/2,935.82
  6. Step 6: Final answer
    x = 1,479.00

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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.