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Finding the Fourth Proportional to 3,289.42, 4,536.84 and 1,962.84

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Solution

The fourth proportional to 3,289.42, 4,536.84 and 1,962.84 is: 2,707.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,289.42 : 4,536.84 = 1,962.84 : x
  2. Step 2: Convert to fraction form
    3,289.42/4,536.84 = 1,962.84/x
  3. Step 3: Cross multiply
    3,289.42x = 4,536.84 × 1,962.84
  4. Step 4: Simplify right side
    3,289.42x = 8,905,091.03
  5. Step 5: Solve for x
    x = 8,905,091.03/3,289.42
  6. Step 6: Final answer
    x = 2,707.19

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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.