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Finding the Fourth Proportional to 2,586.84, 3,880.48 and 2,282.28

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Solution

The fourth proportional to 2,586.84, 3,880.48 and 2,282.28 is: 3,423.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,586.84 : 3,880.48 = 2,282.28 : x
  2. Step 2: Convert to fraction form
    2,586.84/3,880.48 = 2,282.28/x
  3. Step 3: Cross multiply
    2,586.84x = 3,880.48 × 2,282.28
  4. Step 4: Simplify right side
    2,586.84x = 8,856,341.89
  5. Step 5: Solve for x
    x = 8,856,341.89/2,586.84
  6. Step 6: Final answer
    x = 3,423.61

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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.