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Finding the Fourth Proportional to 2,285.65, 3,427.93 and 986.41

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Solution

The fourth proportional to 2,285.65, 3,427.93 and 986.41 is: 1,479.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,285.65 : 3,427.93 = 986.41 : x
  2. Step 2: Convert to fraction form
    2,285.65/3,427.93 = 986.41/x
  3. Step 3: Cross multiply
    2,285.65x = 3,427.93 × 986.41
  4. Step 4: Simplify right side
    2,285.65x = 3,381,344.43
  5. Step 5: Solve for x
    x = 3,381,344.43/2,285.65
  6. Step 6: Final answer
    x = 1,479.38

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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.