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Finding the Fourth Proportional to 2,586.96, 3,874.24 and 1,415.20

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Solution

The fourth proportional to 2,586.96, 3,874.24 and 1,415.20 is: 2,119.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,586.96 : 3,874.24 = 1,415.20 : x
  2. Step 2: Convert to fraction form
    2,586.96/3,874.24 = 1,415.20/x
  3. Step 3: Cross multiply
    2,586.96x = 3,874.24 × 1,415.20
  4. Step 4: Simplify right side
    2,586.96x = 5,482,824.45
  5. Step 5: Solve for x
    x = 5,482,824.45/2,586.96
  6. Step 6: Final answer
    x = 2,119.41

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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.