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Finding the Fourth Proportional to 2,157.70, 2,969.07 and 2,093.46

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Solution

The fourth proportional to 2,157.70, 2,969.07 and 2,093.46 is: 2,880.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,157.70 : 2,969.07 = 2,093.46 : x
  2. Step 2: Convert to fraction form
    2,157.70/2,969.07 = 2,093.46/x
  3. Step 3: Cross multiply
    2,157.70x = 2,969.07 × 2,093.46
  4. Step 4: Simplify right side
    2,157.70x = 6,215,629.28
  5. Step 5: Solve for x
    x = 6,215,629.28/2,157.70
  6. Step 6: Final answer
    x = 2,880.67

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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.