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Finding the Fourth Proportional to 1,788.21, 2,467.85 and 1,002.19

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Solution

The fourth proportional to 1,788.21, 2,467.85 and 1,002.19 is: 1,383.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,788.21 : 2,467.85 = 1,002.19 : x
  2. Step 2: Convert to fraction form
    1,788.21/2,467.85 = 1,002.19/x
  3. Step 3: Cross multiply
    1,788.21x = 2,467.85 × 1,002.19
  4. Step 4: Simplify right side
    1,788.21x = 2,473,249.58
  5. Step 5: Solve for x
    x = 2,473,249.58/1,788.21
  6. Step 6: Final answer
    x = 1,383.09

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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.