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Finding the Fourth Proportional to 2,847.84, 4,269.60 and 2,364

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Solution

The fourth proportional to 2,847.84, 4,269.60 and 2,364 is: 3,544.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,847.84 : 4,269.60 = 2,364 : x
  2. Step 2: Convert to fraction form
    2,847.84/4,269.60 = 2,364/x
  3. Step 3: Cross multiply
    2,847.84x = 4,269.60 × 2,364
  4. Step 4: Simplify right side
    2,847.84x = 10,093,334.40
  5. Step 5: Solve for x
    x = 10,093,334.40/2,847.84
  6. Step 6: Final answer
    x = 3,544.21

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.