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Finding the Fourth Proportional to 1,290.70, 1,940.10 and 1,266.40

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Solution

The fourth proportional to 1,290.70, 1,940.10 and 1,266.40 is: 1,903.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,290.70 : 1,940.10 = 1,266.40 : x
  2. Step 2: Convert to fraction form
    1,290.70/1,940.10 = 1,266.40/x
  3. Step 3: Cross multiply
    1,290.70x = 1,940.10 × 1,266.40
  4. Step 4: Simplify right side
    1,290.70x = 2,456,942.64
  5. Step 5: Solve for x
    x = 2,456,942.64/1,290.70
  6. Step 6: Final answer
    x = 1,903.57

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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.