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Finding the Fourth Proportional to 1,914.63, 2,872.23 and 940.80

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Solution

The fourth proportional to 1,914.63, 2,872.23 and 940.80 is: 1,411.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,914.63 : 2,872.23 = 940.80 : x
  2. Step 2: Convert to fraction form
    1,914.63/2,872.23 = 940.80/x
  3. Step 3: Cross multiply
    1,914.63x = 2,872.23 × 940.80
  4. Step 4: Simplify right side
    1,914.63x = 2,702,193.98
  5. Step 5: Solve for x
    x = 2,702,193.98/1,914.63
  6. Step 6: Final answer
    x = 1,411.34

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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.