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Finding the Fourth Proportional to 3,093.84, 4,640.81 and 1,014.06

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Solution

The fourth proportional to 3,093.84, 4,640.81 and 1,014.06 is: 1,521.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,093.84 : 4,640.81 = 1,014.06 : x
  2. Step 2: Convert to fraction form
    3,093.84/4,640.81 = 1,014.06/x
  3. Step 3: Cross multiply
    3,093.84x = 4,640.81 × 1,014.06
  4. Step 4: Simplify right side
    3,093.84x = 4,706,054.72
  5. Step 5: Solve for x
    x = 4,706,054.72/3,093.84
  6. Step 6: Final answer
    x = 1,521.10

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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.