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Finding the Fourth Proportional to 2,012.17, 3,015.74 and 856.57

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Solution

The fourth proportional to 2,012.17, 3,015.74 and 856.57 is: 1,283.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,012.17 : 3,015.74 = 856.57 : x
  2. Step 2: Convert to fraction form
    2,012.17/3,015.74 = 856.57/x
  3. Step 3: Cross multiply
    2,012.17x = 3,015.74 × 856.57
  4. Step 4: Simplify right side
    2,012.17x = 2,583,188.13
  5. Step 5: Solve for x
    x = 2,583,188.13/2,012.17
  6. Step 6: Final answer
    x = 1,283.78

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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.