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Finding the Fourth Proportional to 1,788.57, 2,468.22 and 1,002.62

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Solution

The fourth proportional to 1,788.57, 2,468.22 and 1,002.62 is: 1,383.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,788.57 : 2,468.22 = 1,002.62 : x
  2. Step 2: Convert to fraction form
    1,788.57/2,468.22 = 1,002.62/x
  3. Step 3: Cross multiply
    1,788.57x = 2,468.22 × 1,002.62
  4. Step 4: Simplify right side
    1,788.57x = 2,474,674.40
  5. Step 5: Solve for x
    x = 2,474,674.40/1,788.57
  6. Step 6: Final answer
    x = 1,383.61

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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.