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Finding the Fourth Proportional to 3,348, 4,620.84 and 2,270.82

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Solution

The fourth proportional to 3,348, 4,620.84 and 2,270.82 is: 3,134.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,348 : 4,620.84 = 2,270.82 : x
  2. Step 2: Convert to fraction form
    3,348/4,620.84 = 2,270.82/x
  3. Step 3: Cross multiply
    3,348x = 4,620.84 × 2,270.82
  4. Step 4: Simplify right side
    3,348x = 10,493,095.89
  5. Step 5: Solve for x
    x = 10,493,095.89/3,348
  6. Step 6: Final answer
    x = 3,134.14

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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.