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Finding the Fourth Proportional to 2,586.94, 3,876.91 and 1,415.17

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Solution

The fourth proportional to 2,586.94, 3,876.91 and 1,415.17 is: 2,120.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,586.94 : 3,876.91 = 1,415.17 : x
  2. Step 2: Convert to fraction form
    2,586.94/3,876.91 = 1,415.17/x
  3. Step 3: Cross multiply
    2,586.94x = 3,876.91 × 1,415.17
  4. Step 4: Simplify right side
    2,586.94x = 5,486,495.99
  5. Step 5: Solve for x
    x = 5,486,495.99/2,586.94
  6. Step 6: Final answer
    x = 2,120.85

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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.