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Finding the Fourth Proportional to 2,135.05, 3,201.19 and 1,475.08

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Solution

The fourth proportional to 2,135.05, 3,201.19 and 1,475.08 is: 2,211.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,135.05 : 3,201.19 = 1,475.08 : x
  2. Step 2: Convert to fraction form
    2,135.05/3,201.19 = 1,475.08/x
  3. Step 3: Cross multiply
    2,135.05x = 3,201.19 × 1,475.08
  4. Step 4: Simplify right side
    2,135.05x = 4,722,017.19
  5. Step 5: Solve for x
    x = 4,722,017.19/2,135.05
  6. Step 6: Final answer
    x = 2,211.67

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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.