Home / 1,464.17-2,021.90-941.09

Finding the Fourth Proportional to 1,464.17, 2,021.90 and 941.09

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Solution

The fourth proportional to 1,464.17, 2,021.90 and 941.09 is: 1,299.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,464.17 : 2,021.90 = 941.09 : x
  2. Step 2: Convert to fraction form
    1,464.17/2,021.90 = 941.09/x
  3. Step 3: Cross multiply
    1,464.17x = 2,021.90 × 941.09
  4. Step 4: Simplify right side
    1,464.17x = 1,902,775.06
  5. Step 5: Solve for x
    x = 1,902,775.06/1,464.17
  6. Step 6: Final answer
    x = 1,299.56

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.