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Finding the Fourth Proportional to 2,936.07, 4,051.74 and 1,609.77

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Solution

The fourth proportional to 2,936.07, 4,051.74 and 1,609.77 is: 2,221.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,936.07 : 4,051.74 = 1,609.77 : x
  2. Step 2: Convert to fraction form
    2,936.07/4,051.74 = 1,609.77/x
  3. Step 3: Cross multiply
    2,936.07x = 4,051.74 × 1,609.77
  4. Step 4: Simplify right side
    2,936.07x = 6,522,361.45
  5. Step 5: Solve for x
    x = 6,522,361.45/2,936.07
  6. Step 6: Final answer
    x = 2,221.46

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.