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Finding the Fourth Proportional to 2,009.51, 3,014.72 and 1,085.05

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Solution

The fourth proportional to 2,009.51, 3,014.72 and 1,085.05 is: 1,627.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,009.51 : 3,014.72 = 1,085.05 : x
  2. Step 2: Convert to fraction form
    2,009.51/3,014.72 = 1,085.05/x
  3. Step 3: Cross multiply
    2,009.51x = 3,014.72 × 1,085.05
  4. Step 4: Simplify right side
    2,009.51x = 3,271,121.94
  5. Step 5: Solve for x
    x = 3,271,121.94/2,009.51
  6. Step 6: Final answer
    x = 1,627.82

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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.