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Finding the Fourth Proportional to 2,582.29, 3,870.84 and 938.39

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Solution

The fourth proportional to 2,582.29, 3,870.84 and 938.39 is: 1,406.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,582.29 : 3,870.84 = 938.39 : x
  2. Step 2: Convert to fraction form
    2,582.29/3,870.84 = 938.39/x
  3. Step 3: Cross multiply
    2,582.29x = 3,870.84 × 938.39
  4. Step 4: Simplify right side
    2,582.29x = 3,632,367.22
  5. Step 5: Solve for x
    x = 3,632,367.22/2,582.29
  6. Step 6: Final answer
    x = 1,406.65

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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.