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Finding the Fourth Proportional to 3,203, 4,419.72 and 1,876.40

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Solution

The fourth proportional to 3,203, 4,419.72 and 1,876.40 is: 2,589.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,203 : 4,419.72 = 1,876.40 : x
  2. Step 2: Convert to fraction form
    3,203/4,419.72 = 1,876.40/x
  3. Step 3: Cross multiply
    3,203x = 4,419.72 × 1,876.40
  4. Step 4: Simplify right side
    3,203x = 8,293,162.61
  5. Step 5: Solve for x
    x = 8,293,162.61/3,203
  6. Step 6: Final answer
    x = 2,589.19

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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.