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Finding the Fourth Proportional to 2,997.76, 4,500.78 and 2,071.03

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Solution

The fourth proportional to 2,997.76, 4,500.78 and 2,071.03 is: 3,109.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,997.76 : 4,500.78 = 2,071.03 : x
  2. Step 2: Convert to fraction form
    2,997.76/4,500.78 = 2,071.03/x
  3. Step 3: Cross multiply
    2,997.76x = 4,500.78 × 2,071.03
  4. Step 4: Simplify right side
    2,997.76x = 9,321,250.40
  5. Step 5: Solve for x
    x = 9,321,250.40/2,997.76
  6. Step 6: Final answer
    x = 3,109.41

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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.