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Finding the Fourth Proportional to 3,192.93, 4,792.13 and 2,442.67

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Solution

The fourth proportional to 3,192.93, 4,792.13 and 2,442.67 is: 3,666.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,192.93 : 4,792.13 = 2,442.67 : x
  2. Step 2: Convert to fraction form
    3,192.93/4,792.13 = 2,442.67/x
  3. Step 3: Cross multiply
    3,192.93x = 4,792.13 × 2,442.67
  4. Step 4: Simplify right side
    3,192.93x = 11,705,577.15
  5. Step 5: Solve for x
    x = 11,705,577.15/3,192.93
  6. Step 6: Final answer
    x = 3,666.09

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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.