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Finding the Fourth Proportional to 2,559.87, 3,838.23 and 998.64

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Solution

The fourth proportional to 2,559.87, 3,838.23 and 998.64 is: 1,497.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,559.87 : 3,838.23 = 998.64 : x
  2. Step 2: Convert to fraction form
    2,559.87/3,838.23 = 998.64/x
  3. Step 3: Cross multiply
    2,559.87x = 3,838.23 × 998.64
  4. Step 4: Simplify right side
    2,559.87x = 3,833,010.01
  5. Step 5: Solve for x
    x = 3,833,010.01/2,559.87
  6. Step 6: Final answer
    x = 1,497.35

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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.