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Finding the Fourth Proportional to 2,008.31, 3,012.80 and 970.17

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Solution

The fourth proportional to 2,008.31, 3,012.80 and 970.17 is: 1,455.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,008.31 : 3,012.80 = 970.17 : x
  2. Step 2: Convert to fraction form
    2,008.31/3,012.80 = 970.17/x
  3. Step 3: Cross multiply
    2,008.31x = 3,012.80 × 970.17
  4. Step 4: Simplify right side
    2,008.31x = 2,922,923.33
  5. Step 5: Solve for x
    x = 2,922,923.33/2,008.31
  6. Step 6: Final answer
    x = 1,455.42

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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.