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Finding the Fourth Proportional to 2,389, 3,582.83 and 1,002.04

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Solution

The fourth proportional to 2,389, 3,582.83 and 1,002.04 is: 1,502.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,389 : 3,582.83 = 1,002.04 : x
  2. Step 2: Convert to fraction form
    2,389/3,582.83 = 1,002.04/x
  3. Step 3: Cross multiply
    2,389x = 3,582.83 × 1,002.04
  4. Step 4: Simplify right side
    2,389x = 3,590,138.97
  5. Step 5: Solve for x
    x = 3,590,138.97/2,389
  6. Step 6: Final answer
    x = 1,502.78

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.