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Finding the Fourth Proportional to 1,938.11, 2,907.09 and 842.47

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Solution

The fourth proportional to 1,938.11, 2,907.09 and 842.47 is: 1,263.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,938.11 : 2,907.09 = 842.47 : x
  2. Step 2: Convert to fraction form
    1,938.11/2,907.09 = 842.47/x
  3. Step 3: Cross multiply
    1,938.11x = 2,907.09 × 842.47
  4. Step 4: Simplify right side
    1,938.11x = 2,449,138.22
  5. Step 5: Solve for x
    x = 2,449,138.22/1,938.11
  6. Step 6: Final answer
    x = 1,263.68

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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.