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Finding the Fourth Proportional to 4,512.84, 6,768.44 and 2,047.07

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Solution

The fourth proportional to 4,512.84, 6,768.44 and 2,047.07 is: 3,070.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,512.84 : 6,768.44 = 2,047.07 : x
  2. Step 2: Convert to fraction form
    4,512.84/6,768.44 = 2,047.07/x
  3. Step 3: Cross multiply
    4,512.84x = 6,768.44 × 2,047.07
  4. Step 4: Simplify right side
    4,512.84x = 13,855,426.39
  5. Step 5: Solve for x
    x = 13,855,426.39/4,512.84
  6. Step 6: Final answer
    x = 3,070.22

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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.