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Finding the Fourth Proportional to 3,072.54, 4,242.16 and 2,363.12

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Solution

The fourth proportional to 3,072.54, 4,242.16 and 2,363.12 is: 3,262.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,072.54 : 4,242.16 = 2,363.12 : x
  2. Step 2: Convert to fraction form
    3,072.54/4,242.16 = 2,363.12/x
  3. Step 3: Cross multiply
    3,072.54x = 4,242.16 × 2,363.12
  4. Step 4: Simplify right side
    3,072.54x = 10,024,733.14
  5. Step 5: Solve for x
    x = 10,024,733.14/3,072.54
  6. Step 6: Final answer
    x = 3,262.69

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.