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Finding the Fourth Proportional to 2,009.99, 3,016.94 and 970.73

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Solution

The fourth proportional to 2,009.99, 3,016.94 and 970.73 is: 1,457.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,009.99 : 3,016.94 = 970.73 : x
  2. Step 2: Convert to fraction form
    2,009.99/3,016.94 = 970.73/x
  3. Step 3: Cross multiply
    2,009.99x = 3,016.94 × 970.73
  4. Step 4: Simplify right side
    2,009.99x = 2,928,634.17
  5. Step 5: Solve for x
    x = 2,928,634.17/2,009.99
  6. Step 6: Final answer
    x = 1,457.04

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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.