Home / 1,788.24-2,467.84-1,002.48

Finding the Fourth Proportional to 1,788.24, 2,467.84 and 1,002.48

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Solution

The fourth proportional to 1,788.24, 2,467.84 and 1,002.48 is: 1,383.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,788.24 : 2,467.84 = 1,002.48 : x
  2. Step 2: Convert to fraction form
    1,788.24/2,467.84 = 1,002.48/x
  3. Step 3: Cross multiply
    1,788.24x = 2,467.84 × 1,002.48
  4. Step 4: Simplify right side
    1,788.24x = 2,473,960.24
  5. Step 5: Solve for x
    x = 2,473,960.24/1,788.24
  6. Step 6: Final answer
    x = 1,383.46

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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.