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Finding the Fourth Proportional to 2,010.12, 3,014.94 and 856.20

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Solution

The fourth proportional to 2,010.12, 3,014.94 and 856.20 is: 1,284.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,010.12 : 3,014.94 = 856.20 : x
  2. Step 2: Convert to fraction form
    2,010.12/3,014.94 = 856.20/x
  3. Step 3: Cross multiply
    2,010.12x = 3,014.94 × 856.20
  4. Step 4: Simplify right side
    2,010.12x = 2,581,391.63
  5. Step 5: Solve for x
    x = 2,581,391.63/2,010.12
  6. Step 6: Final answer
    x = 1,284.20

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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.