Home / 1,602.24-2,400.92-1,189.44

Finding the Fourth Proportional to 1,602.24, 2,400.92 and 1,189.44

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Solution

The fourth proportional to 1,602.24, 2,400.92 and 1,189.44 is: 1,782.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,602.24 : 2,400.92 = 1,189.44 : x
  2. Step 2: Convert to fraction form
    1,602.24/2,400.92 = 1,189.44/x
  3. Step 3: Cross multiply
    1,602.24x = 2,400.92 × 1,189.44
  4. Step 4: Simplify right side
    1,602.24x = 2,855,750.28
  5. Step 5: Solve for x
    x = 2,855,750.28/1,602.24
  6. Step 6: Final answer
    x = 1,782.35

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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.