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Finding the Fourth Proportional to 3,204.76, 4,802.94 and 1,643.44

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Solution

The fourth proportional to 3,204.76, 4,802.94 and 1,643.44 is: 2,463.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,204.76 : 4,802.94 = 1,643.44 : x
  2. Step 2: Convert to fraction form
    3,204.76/4,802.94 = 1,643.44/x
  3. Step 3: Cross multiply
    3,204.76x = 4,802.94 × 1,643.44
  4. Step 4: Simplify right side
    3,204.76x = 7,893,343.71
  5. Step 5: Solve for x
    x = 7,893,343.71/3,204.76
  6. Step 6: Final answer
    x = 2,463.01

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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.