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Finding the Fourth Proportional to 2,586.30, 3,881.01 and 942.99

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Solution

The fourth proportional to 2,586.30, 3,881.01 and 942.99 is: 1,415.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,586.30 : 3,881.01 = 942.99 : x
  2. Step 2: Convert to fraction form
    2,586.30/3,881.01 = 942.99/x
  3. Step 3: Cross multiply
    2,586.30x = 3,881.01 × 942.99
  4. Step 4: Simplify right side
    2,586.30x = 3,659,764.43
  5. Step 5: Solve for x
    x = 3,659,764.43/2,586.30
  6. Step 6: Final answer
    x = 1,415.06

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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.