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Finding the Fourth Proportional to 2,089.87, 3,132.43 and 855.70

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Solution

The fourth proportional to 2,089.87, 3,132.43 and 855.70 is: 1,282.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,089.87 : 3,132.43 = 855.70 : x
  2. Step 2: Convert to fraction form
    2,089.87/3,132.43 = 855.70/x
  3. Step 3: Cross multiply
    2,089.87x = 3,132.43 × 855.70
  4. Step 4: Simplify right side
    2,089.87x = 2,680,420.35
  5. Step 5: Solve for x
    x = 2,680,420.35/2,089.87
  6. Step 6: Final answer
    x = 1,282.58

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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.