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Finding the Fourth Proportional to 1,788.27, 2,467.81 and 1,002.32

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Solution

The fourth proportional to 1,788.27, 2,467.81 and 1,002.32 is: 1,383.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,788.27 : 2,467.81 = 1,002.32 : x
  2. Step 2: Convert to fraction form
    1,788.27/2,467.81 = 1,002.32/x
  3. Step 3: Cross multiply
    1,788.27x = 2,467.81 × 1,002.32
  4. Step 4: Simplify right side
    1,788.27x = 2,473,535.32
  5. Step 5: Solve for x
    x = 2,473,535.32/1,788.27
  6. Step 6: Final answer
    x = 1,383.20

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.