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Finding the Fourth Proportional to 3,204.76, 4,808.76 and 1,473.16

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Solution

The fourth proportional to 3,204.76, 4,808.76 and 1,473.16 is: 2,210.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,204.76 : 4,808.76 = 1,473.16 : x
  2. Step 2: Convert to fraction form
    3,204.76/4,808.76 = 1,473.16/x
  3. Step 3: Cross multiply
    3,204.76x = 4,808.76 × 1,473.16
  4. Step 4: Simplify right side
    3,204.76x = 7,084,072.88
  5. Step 5: Solve for x
    x = 7,084,072.88/3,204.76
  6. Step 6: Final answer
    x = 2,210.48

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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.