Home / 1,464.52-2,021.47-1,022.56

Finding the Fourth Proportional to 1,464.52, 2,021.47 and 1,022.56

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Solution

The fourth proportional to 1,464.52, 2,021.47 and 1,022.56 is: 1,411.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,464.52 : 2,021.47 = 1,022.56 : x
  2. Step 2: Convert to fraction form
    1,464.52/2,021.47 = 1,022.56/x
  3. Step 3: Cross multiply
    1,464.52x = 2,021.47 × 1,022.56
  4. Step 4: Simplify right side
    1,464.52x = 2,067,074.33
  5. Step 5: Solve for x
    x = 2,067,074.33/1,464.52
  6. Step 6: Final answer
    x = 1,411.44

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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.