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Finding the Fourth Proportional to 2,935.24, 4,402.86 and 986.92

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Solution

The fourth proportional to 2,935.24, 4,402.86 and 986.92 is: 1,480.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,935.24 : 4,402.86 = 986.92 : x
  2. Step 2: Convert to fraction form
    2,935.24/4,402.86 = 986.92/x
  3. Step 3: Cross multiply
    2,935.24x = 4,402.86 × 986.92
  4. Step 4: Simplify right side
    2,935.24x = 4,345,270.59
  5. Step 5: Solve for x
    x = 4,345,270.59/2,935.24
  6. Step 6: Final answer
    x = 1,480.38

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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.