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Finding the Fourth Proportional to 2,156.94, 3,235.97 and 986.38

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Solution

The fourth proportional to 2,156.94, 3,235.97 and 986.38 is: 1,479.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,156.94 : 3,235.97 = 986.38 : x
  2. Step 2: Convert to fraction form
    2,156.94/3,235.97 = 986.38/x
  3. Step 3: Cross multiply
    2,156.94x = 3,235.97 × 986.38
  4. Step 4: Simplify right side
    2,156.94x = 3,191,898.57
  5. Step 5: Solve for x
    x = 3,191,898.57/2,156.94
  6. Step 6: Final answer
    x = 1,479.83

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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.