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Finding the Fourth Proportional to 2,856.96, 4,282.38 and 1,866.67

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Solution

The fourth proportional to 2,856.96, 4,282.38 and 1,866.67 is: 2,798.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,856.96 : 4,282.38 = 1,866.67 : x
  2. Step 2: Convert to fraction form
    2,856.96/4,282.38 = 1,866.67/x
  3. Step 3: Cross multiply
    2,856.96x = 4,282.38 × 1,866.67
  4. Step 4: Simplify right side
    2,856.96x = 7,993,779.57
  5. Step 5: Solve for x
    x = 7,993,779.57/2,856.96
  6. Step 6: Final answer
    x = 2,798.00

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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.