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Finding the Fourth Proportional to 3,101.64, 4,654.15 and 1,228.67

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Solution

The fourth proportional to 3,101.64, 4,654.15 and 1,228.67 is: 1,843.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,101.64 : 4,654.15 = 1,228.67 : x
  2. Step 2: Convert to fraction form
    3,101.64/4,654.15 = 1,228.67/x
  3. Step 3: Cross multiply
    3,101.64x = 4,654.15 × 1,228.67
  4. Step 4: Simplify right side
    3,101.64x = 5,718,391.21
  5. Step 5: Solve for x
    x = 5,718,391.21/3,101.64
  6. Step 6: Final answer
    x = 1,843.67

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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.