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Finding the Fourth Proportional to 2,191.64, 3,283.50 and 1,203.39

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Solution

The fourth proportional to 2,191.64, 3,283.50 and 1,203.39 is: 1,802.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,191.64 : 3,283.50 = 1,203.39 : x
  2. Step 2: Convert to fraction form
    2,191.64/3,283.50 = 1,203.39/x
  3. Step 3: Cross multiply
    2,191.64x = 3,283.50 × 1,203.39
  4. Step 4: Simplify right side
    2,191.64x = 3,951,331.07
  5. Step 5: Solve for x
    x = 3,951,331.07/2,191.64
  6. Step 6: Final answer
    x = 1,802.91

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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.