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Finding the Fourth Proportional to 2,229.63, 3,076.89 and 1,345.41

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Solution

The fourth proportional to 2,229.63, 3,076.89 and 1,345.41 is: 1,856.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,229.63 : 3,076.89 = 1,345.41 : x
  2. Step 2: Convert to fraction form
    2,229.63/3,076.89 = 1,345.41/x
  3. Step 3: Cross multiply
    2,229.63x = 3,076.89 × 1,345.41
  4. Step 4: Simplify right side
    2,229.63x = 4,139,673.53
  5. Step 5: Solve for x
    x = 4,139,673.53/2,229.63
  6. Step 6: Final answer
    x = 1,856.67

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.