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Finding the Fourth Proportional to 3,069.92, 4,603.84 and 1,338.08

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Solution

The fourth proportional to 3,069.92, 4,603.84 and 1,338.08 is: 2,006.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,069.92 : 4,603.84 = 1,338.08 : x
  2. Step 2: Convert to fraction form
    3,069.92/4,603.84 = 1,338.08/x
  3. Step 3: Cross multiply
    3,069.92x = 4,603.84 × 1,338.08
  4. Step 4: Simplify right side
    3,069.92x = 6,160,306.23
  5. Step 5: Solve for x
    x = 6,160,306.23/3,069.92
  6. Step 6: Final answer
    x = 2,006.67

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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.