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Finding the Fourth Proportional to 3,106.05, 4,657.46 and 914.49

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Solution

The fourth proportional to 3,106.05, 4,657.46 and 914.49 is: 1,371.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,106.05 : 4,657.46 = 914.49 : x
  2. Step 2: Convert to fraction form
    3,106.05/4,657.46 = 914.49/x
  3. Step 3: Cross multiply
    3,106.05x = 4,657.46 × 914.49
  4. Step 4: Simplify right side
    3,106.05x = 4,259,200.60
  5. Step 5: Solve for x
    x = 4,259,200.60/3,106.05
  6. Step 6: Final answer
    x = 1,371.26

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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.