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Finding the Fourth Proportional to 2,589.71, 3,886.54 and 1,898.15

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Solution

The fourth proportional to 2,589.71, 3,886.54 and 1,898.15 is: 2,848.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,589.71 : 3,886.54 = 1,898.15 : x
  2. Step 2: Convert to fraction form
    2,589.71/3,886.54 = 1,898.15/x
  3. Step 3: Cross multiply
    2,589.71x = 3,886.54 × 1,898.15
  4. Step 4: Simplify right side
    2,589.71x = 7,377,235.90
  5. Step 5: Solve for x
    x = 7,377,235.90/2,589.71
  6. Step 6: Final answer
    x = 2,848.67

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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.