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Finding the Fourth Proportional to 2,589.34, 3,874.66 and 2,228.48

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Solution

The fourth proportional to 2,589.34, 3,874.66 and 2,228.48 is: 3,334.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,589.34 : 3,874.66 = 2,228.48 : x
  2. Step 2: Convert to fraction form
    2,589.34/3,874.66 = 2,228.48/x
  3. Step 3: Cross multiply
    2,589.34x = 3,874.66 × 2,228.48
  4. Step 4: Simplify right side
    2,589.34x = 8,634,602.32
  5. Step 5: Solve for x
    x = 8,634,602.32/2,589.34
  6. Step 6: Final answer
    x = 3,334.67

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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.