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Finding the Fourth Proportional to 3,203.84, 4,804.04 and 1,643.20

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Solution

The fourth proportional to 3,203.84, 4,804.04 and 1,643.20 is: 2,463.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,203.84 : 4,804.04 = 1,643.20 : x
  2. Step 2: Convert to fraction form
    3,203.84/4,804.04 = 1,643.20/x
  3. Step 3: Cross multiply
    3,203.84x = 4,804.04 × 1,643.20
  4. Step 4: Simplify right side
    3,203.84x = 7,894,017.65
  5. Step 5: Solve for x
    x = 7,894,017.65/3,203.84
  6. Step 6: Final answer
    x = 2,463.93

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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.