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Finding the Fourth Proportional to 2,106.81, 3,161.43 and 874.80

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Solution

The fourth proportional to 2,106.81, 3,161.43 and 874.80 is: 1,312.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,106.81 : 3,161.43 = 874.80 : x
  2. Step 2: Convert to fraction form
    2,106.81/3,161.43 = 874.80/x
  3. Step 3: Cross multiply
    2,106.81x = 3,161.43 × 874.80
  4. Step 4: Simplify right side
    2,106.81x = 2,765,618.96
  5. Step 5: Solve for x
    x = 2,765,618.96/2,106.81
  6. Step 6: Final answer
    x = 1,312.70

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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.