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Finding the Fourth Proportional to 2,586.94, 3,882 and 1,126.21

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Solution

The fourth proportional to 2,586.94, 3,882 and 1,126.21 is: 1,690.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,586.94 : 3,882 = 1,126.21 : x
  2. Step 2: Convert to fraction form
    2,586.94/3,882 = 1,126.21/x
  3. Step 3: Cross multiply
    2,586.94x = 3,882 × 1,126.21
  4. Step 4: Simplify right side
    2,586.94x = 4,371,947.22
  5. Step 5: Solve for x
    x = 4,371,947.22/2,586.94
  6. Step 6: Final answer
    x = 1,690.01

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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.