Home / 1,427.24-2,140.46-906.46

Finding the Fourth Proportional to 1,427.24, 2,140.46 and 906.46

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Solution

The fourth proportional to 1,427.24, 2,140.46 and 906.46 is: 1,359.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,427.24 : 2,140.46 = 906.46 : x
  2. Step 2: Convert to fraction form
    1,427.24/2,140.46 = 906.46/x
  3. Step 3: Cross multiply
    1,427.24x = 2,140.46 × 906.46
  4. Step 4: Simplify right side
    1,427.24x = 1,940,241.37
  5. Step 5: Solve for x
    x = 1,940,241.37/1,427.24
  6. Step 6: Final answer
    x = 1,359.44

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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.