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Finding the Fourth Proportional to 3,059.76, 4,588.97 and 1,414.75

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Solution

The fourth proportional to 3,059.76, 4,588.97 and 1,414.75 is: 2,121.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,059.76 : 4,588.97 = 1,414.75 : x
  2. Step 2: Convert to fraction form
    3,059.76/4,588.97 = 1,414.75/x
  3. Step 3: Cross multiply
    3,059.76x = 4,588.97 × 1,414.75
  4. Step 4: Simplify right side
    3,059.76x = 6,492,237.37
  5. Step 5: Solve for x
    x = 6,492,237.37/3,059.76
  6. Step 6: Final answer
    x = 2,121.81

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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.