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Finding the Fourth Proportional to 2,089.80, 3,134.58 and 628.92

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Solution

The fourth proportional to 2,089.80, 3,134.58 and 628.92 is: 943.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,089.80 : 3,134.58 = 628.92 : x
  2. Step 2: Convert to fraction form
    2,089.80/3,134.58 = 628.92/x
  3. Step 3: Cross multiply
    2,089.80x = 3,134.58 × 628.92
  4. Step 4: Simplify right side
    2,089.80x = 1,971,400.05
  5. Step 5: Solve for x
    x = 1,971,400.05/2,089.80
  6. Step 6: Final answer
    x = 943.34

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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.