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Finding the Fourth Proportional to 2,110.82, 3,164.25 and 877.44

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Solution

The fourth proportional to 2,110.82, 3,164.25 and 877.44 is: 1,315.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,110.82 : 3,164.25 = 877.44 : x
  2. Step 2: Convert to fraction form
    2,110.82/3,164.25 = 877.44/x
  3. Step 3: Cross multiply
    2,110.82x = 3,164.25 × 877.44
  4. Step 4: Simplify right side
    2,110.82x = 2,776,439.52
  5. Step 5: Solve for x
    x = 2,776,439.52/2,110.82
  6. Step 6: Final answer
    x = 1,315.34

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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.