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Finding the Fourth Proportional to 2,140.44, 3,208.22 and 907.08

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Solution

The fourth proportional to 2,140.44, 3,208.22 and 907.08 is: 1,359.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,140.44 : 3,208.22 = 907.08 : x
  2. Step 2: Convert to fraction form
    2,140.44/3,208.22 = 907.08/x
  3. Step 3: Cross multiply
    2,140.44x = 3,208.22 × 907.08
  4. Step 4: Simplify right side
    2,140.44x = 2,910,112.20
  5. Step 5: Solve for x
    x = 2,910,112.20/2,140.44
  6. Step 6: Final answer
    x = 1,359.59

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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.