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Finding the Fourth Proportional to 1,971,682.80, 2,957,524.20 and 1,298,524.20

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Solution

The fourth proportional to 1,971,682.80, 2,957,524.20 and 1,298,524.20 is: 1,947,786.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,971,682.80 : 2,957,524.20 = 1,298,524.20 : x
  2. Step 2: Convert to fraction form
    1,971,682.80/2,957,524.20 = 1,298,524.20/x
  3. Step 3: Cross multiply
    1,971,682.80x = 2,957,524.20 × 1,298,524.20
  4. Step 4: Simplify right side
    1,971,682.80x = 3,840,416,745,785.64
  5. Step 5: Solve for x
    x = 3,840,416,745,785.64/1,971,682.80
  6. Step 6: Final answer
    x = 1,947,786.30

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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.