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Finding the Fourth Proportional to 4,592.84, 6,889.08 and 1,997.60

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Solution

The fourth proportional to 4,592.84, 6,889.08 and 1,997.60 is: 2,996.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,592.84 : 6,889.08 = 1,997.60 : x
  2. Step 2: Convert to fraction form
    4,592.84/6,889.08 = 1,997.60/x
  3. Step 3: Cross multiply
    4,592.84x = 6,889.08 × 1,997.60
  4. Step 4: Simplify right side
    4,592.84x = 13,761,626.21
  5. Step 5: Solve for x
    x = 13,761,626.21/4,592.84
  6. Step 6: Final answer
    x = 2,996.32

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1.5x scale

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.