Home / 1,748.09-2,412.32-1,002.49

Finding the Fourth Proportional to 1,748.09, 2,412.32 and 1,002.49

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Solution

The fourth proportional to 1,748.09, 2,412.32 and 1,002.49 is: 1,383.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,748.09 : 2,412.32 = 1,002.49 : x
  2. Step 2: Convert to fraction form
    1,748.09/2,412.32 = 1,002.49/x
  3. Step 3: Cross multiply
    1,748.09x = 2,412.32 × 1,002.49
  4. Step 4: Simplify right side
    1,748.09x = 2,418,326.68
  5. Step 5: Solve for x
    x = 2,418,326.68/1,748.09
  6. Step 6: Final answer
    x = 1,383.41

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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.