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Finding the Fourth Proportional to 3,205.04, 4,809.40 and 1,356.04

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Solution

The fourth proportional to 3,205.04, 4,809.40 and 1,356.04 is: 2,034.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,205.04 : 4,809.40 = 1,356.04 : x
  2. Step 2: Convert to fraction form
    3,205.04/4,809.40 = 1,356.04/x
  3. Step 3: Cross multiply
    3,205.04x = 4,809.40 × 1,356.04
  4. Step 4: Simplify right side
    3,205.04x = 6,521,738.78
  5. Step 5: Solve for x
    x = 6,521,738.78/3,205.04
  6. Step 6: Final answer
    x = 2,034.84

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.