Home / 1,464.21-2,019.78-1,021.34

Finding the Fourth Proportional to 1,464.21, 2,019.78 and 1,021.34

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Solution

The fourth proportional to 1,464.21, 2,019.78 and 1,021.34 is: 1,408.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,464.21 : 2,019.78 = 1,021.34 : x
  2. Step 2: Convert to fraction form
    1,464.21/2,019.78 = 1,021.34/x
  3. Step 3: Cross multiply
    1,464.21x = 2,019.78 × 1,021.34
  4. Step 4: Simplify right side
    1,464.21x = 2,062,872.01
  5. Step 5: Solve for x
    x = 2,062,872.01/1,464.21
  6. Step 6: Final answer
    x = 1,408.86

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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.