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Finding the Fourth Proportional to 2,278.34, 3,416.14 and 890.05

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Solution

The fourth proportional to 2,278.34, 3,416.14 and 890.05 is: 1,334.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,278.34 : 3,416.14 = 890.05 : x
  2. Step 2: Convert to fraction form
    2,278.34/3,416.14 = 890.05/x
  3. Step 3: Cross multiply
    2,278.34x = 3,416.14 × 890.05
  4. Step 4: Simplify right side
    2,278.34x = 3,040,535.41
  5. Step 5: Solve for x
    x = 3,040,535.41/2,278.34
  6. Step 6: Final answer
    x = 1,334.54

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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.