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Finding the Fourth Proportional to 2,856.95, 4,286.99 and 1,396.11

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Solution

The fourth proportional to 2,856.95, 4,286.99 and 1,396.11 is: 2,094.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,856.95 : 4,286.99 = 1,396.11 : x
  2. Step 2: Convert to fraction form
    2,856.95/4,286.99 = 1,396.11/x
  3. Step 3: Cross multiply
    2,856.95x = 4,286.99 × 1,396.11
  4. Step 4: Simplify right side
    2,856.95x = 5,985,109.61
  5. Step 5: Solve for x
    x = 5,985,109.61/2,856.95
  6. Step 6: Final answer
    x = 2,094.93

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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.