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Finding the Fourth Proportional to 2,009.95, 3,015.33 and 712.33

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Solution

The fourth proportional to 2,009.95, 3,015.33 and 712.33 is: 1,068.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,009.95 : 3,015.33 = 712.33 : x
  2. Step 2: Convert to fraction form
    2,009.95/3,015.33 = 712.33/x
  3. Step 3: Cross multiply
    2,009.95x = 3,015.33 × 712.33
  4. Step 4: Simplify right side
    2,009.95x = 2,147,891.38
  5. Step 5: Solve for x
    x = 2,147,891.38/2,009.95
  6. Step 6: Final answer
    x = 1,068.63

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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.