Home / 1,464.20-2,020.59-1,022.36

Finding the Fourth Proportional to 1,464.20, 2,020.59 and 1,022.36

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Solution

The fourth proportional to 1,464.20, 2,020.59 and 1,022.36 is: 1,410.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,464.20 : 2,020.59 = 1,022.36 : x
  2. Step 2: Convert to fraction form
    1,464.20/2,020.59 = 1,022.36/x
  3. Step 3: Cross multiply
    1,464.20x = 2,020.59 × 1,022.36
  4. Step 4: Simplify right side
    1,464.20x = 2,065,760.29
  5. Step 5: Solve for x
    x = 2,065,760.29/1,464.20
  6. Step 6: Final answer
    x = 1,410.85

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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.