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Finding the Fourth Proportional to 2,870.96, 3,956.52 and 2,072.88

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Solution

The fourth proportional to 2,870.96, 3,956.52 and 2,072.88 is: 2,856.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,870.96 : 3,956.52 = 2,072.88 : x
  2. Step 2: Convert to fraction form
    2,870.96/3,956.52 = 2,072.88/x
  3. Step 3: Cross multiply
    2,870.96x = 3,956.52 × 2,072.88
  4. Step 4: Simplify right side
    2,870.96x = 8,201,391.18
  5. Step 5: Solve for x
    x = 8,201,391.18/2,870.96
  6. Step 6: Final answer
    x = 2,856.67

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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.