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Finding the Fourth Proportional to 2,953.96, 4,069.38 and 2,020.84

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Solution

The fourth proportional to 2,953.96, 4,069.38 and 2,020.84 is: 2,783.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,953.96 : 4,069.38 = 2,020.84 : x
  2. Step 2: Convert to fraction form
    2,953.96/4,069.38 = 2,020.84/x
  3. Step 3: Cross multiply
    2,953.96x = 4,069.38 × 2,020.84
  4. Step 4: Simplify right side
    2,953.96x = 8,223,565.88
  5. Step 5: Solve for x
    x = 8,223,565.88/2,953.96
  6. Step 6: Final answer
    x = 2,783.91

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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.