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Finding the Fourth Proportional to 2,806.47, 3,873.06 and 1,860.57

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Solution

The fourth proportional to 2,806.47, 3,873.06 and 1,860.57 is: 2,567.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,806.47 : 3,873.06 = 1,860.57 : x
  2. Step 2: Convert to fraction form
    2,806.47/3,873.06 = 1,860.57/x
  3. Step 3: Cross multiply
    2,806.47x = 3,873.06 × 1,860.57
  4. Step 4: Simplify right side
    2,806.47x = 7,206,099.24
  5. Step 5: Solve for x
    x = 7,206,099.24/2,806.47
  6. Step 6: Final answer
    x = 2,567.67

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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.