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Finding the Fourth Proportional to 1,788.46, 2,468.08 and 1,002.52

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Solution

The fourth proportional to 1,788.46, 2,468.08 and 1,002.52 is: 1,383.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,788.46 : 2,468.08 = 1,002.52 : x
  2. Step 2: Convert to fraction form
    1,788.46/2,468.08 = 1,002.52/x
  3. Step 3: Cross multiply
    1,788.46x = 2,468.08 × 1,002.52
  4. Step 4: Simplify right side
    1,788.46x = 2,474,299.56
  5. Step 5: Solve for x
    x = 2,474,299.56/1,788.46
  6. Step 6: Final answer
    x = 1,383.48

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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.