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Finding the Fourth Proportional to 2,589.89, 3,886.78 and 1,898.32

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Solution

The fourth proportional to 2,589.89, 3,886.78 and 1,898.32 is: 2,848.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,589.89 : 3,886.78 = 1,898.32 : x
  2. Step 2: Convert to fraction form
    2,589.89/3,886.78 = 1,898.32/x
  3. Step 3: Cross multiply
    2,589.89x = 3,886.78 × 1,898.32
  4. Step 4: Simplify right side
    2,589.89x = 7,378,352.21
  5. Step 5: Solve for x
    x = 7,378,352.21/2,589.89
  6. Step 6: Final answer
    x = 2,848.91

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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.