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Finding the Fourth Proportional to 2,277.59, 3,414.20 and 890.47

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Solution

The fourth proportional to 2,277.59, 3,414.20 and 890.47 is: 1,334.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,277.59 : 3,414.20 = 890.47 : x
  2. Step 2: Convert to fraction form
    2,277.59/3,414.20 = 890.47/x
  3. Step 3: Cross multiply
    2,277.59x = 3,414.20 × 890.47
  4. Step 4: Simplify right side
    2,277.59x = 3,040,225.60
  5. Step 5: Solve for x
    x = 3,040,225.60/2,277.59
  6. Step 6: Final answer
    x = 1,334.84

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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.