Home / 1,284.24-1,924.49-1,023.06

Finding the Fourth Proportional to 1,284.24, 1,924.49 and 1,023.06

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Solution

The fourth proportional to 1,284.24, 1,924.49 and 1,023.06 is: 1,533.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,284.24 : 1,924.49 = 1,023.06 : x
  2. Step 2: Convert to fraction form
    1,284.24/1,924.49 = 1,023.06/x
  3. Step 3: Cross multiply
    1,284.24x = 1,924.49 × 1,023.06
  4. Step 4: Simplify right side
    1,284.24x = 1,968,854.00
  5. Step 5: Solve for x
    x = 1,968,854.00/1,284.24
  6. Step 6: Final answer
    x = 1,533.09

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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.