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Finding the Fourth Proportional to 2,403.33, 3,602.84 and 863.97

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Solution

The fourth proportional to 2,403.33, 3,602.84 and 863.97 is: 1,295.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,403.33 : 3,602.84 = 863.97 : x
  2. Step 2: Convert to fraction form
    2,403.33/3,602.84 = 863.97/x
  3. Step 3: Cross multiply
    2,403.33x = 3,602.84 × 863.97
  4. Step 4: Simplify right side
    2,403.33x = 3,112,741.35
  5. Step 5: Solve for x
    x = 3,112,741.35/2,403.33
  6. Step 6: Final answer
    x = 1,295.18

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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.