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Finding the Fourth Proportional to 2,112.46, 3,168.73 and 651.60

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Solution

The fourth proportional to 2,112.46, 3,168.73 and 651.60 is: 977.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,112.46 : 3,168.73 = 651.60 : x
  2. Step 2: Convert to fraction form
    2,112.46/3,168.73 = 651.60/x
  3. Step 3: Cross multiply
    2,112.46x = 3,168.73 × 651.60
  4. Step 4: Simplify right side
    2,112.46x = 2,064,744.47
  5. Step 5: Solve for x
    x = 2,064,744.47/2,112.46
  6. Step 6: Final answer
    x = 977.41

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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.