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Finding the Fourth Proportional to 2,643.21, 3,643.87 and 1,802.83

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Solution

The fourth proportional to 2,643.21, 3,643.87 and 1,802.83 is: 2,485.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,643.21 : 3,643.87 = 1,802.83 : x
  2. Step 2: Convert to fraction form
    2,643.21/3,643.87 = 1,802.83/x
  3. Step 3: Cross multiply
    2,643.21x = 3,643.87 × 1,802.83
  4. Step 4: Simplify right side
    2,643.21x = 6,569,278.15
  5. Step 5: Solve for x
    x = 6,569,278.15/2,643.21
  6. Step 6: Final answer
    x = 2,485.34

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.