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Finding the Fourth Proportional to 1,788.72, 2,468.34 and 1,002.78

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Solution

The fourth proportional to 1,788.72, 2,468.34 and 1,002.78 is: 1,383.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,788.72 : 2,468.34 = 1,002.78 : x
  2. Step 2: Convert to fraction form
    1,788.72/2,468.34 = 1,002.78/x
  3. Step 3: Cross multiply
    1,788.72x = 2,468.34 × 1,002.78
  4. Step 4: Simplify right side
    1,788.72x = 2,475,201.99
  5. Step 5: Solve for x
    x = 2,475,201.99/1,788.72
  6. Step 6: Final answer
    x = 1,383.78

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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.