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Finding the Fourth Proportional to 2,858.41, 3,946.04 and 2,705.80

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Solution

The fourth proportional to 2,858.41, 3,946.04 and 2,705.80 is: 3,735.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,858.41 : 3,946.04 = 2,705.80 : x
  2. Step 2: Convert to fraction form
    2,858.41/3,946.04 = 2,705.80/x
  3. Step 3: Cross multiply
    2,858.41x = 3,946.04 × 2,705.80
  4. Step 4: Simplify right side
    2,858.41x = 10,677,195.03
  5. Step 5: Solve for x
    x = 10,677,195.03/2,858.41
  6. Step 6: Final answer
    x = 3,735.36

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.