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Finding the Fourth Proportional to 2,000.14, 2,997.64 and 1,752.78

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Solution

The fourth proportional to 2,000.14, 2,997.64 and 1,752.78 is: 2,626.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,000.14 : 2,997.64 = 1,752.78 : x
  2. Step 2: Convert to fraction form
    2,000.14/2,997.64 = 1,752.78/x
  3. Step 3: Cross multiply
    2,000.14x = 2,997.64 × 1,752.78
  4. Step 4: Simplify right side
    2,000.14x = 5,254,203.44
  5. Step 5: Solve for x
    x = 5,254,203.44/2,000.14
  6. Step 6: Final answer
    x = 2,626.92

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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.