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Finding the Fourth Proportional to 2,043.31, 3,063.65 and 874.08

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Solution

The fourth proportional to 2,043.31, 3,063.65 and 874.08 is: 1,310.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,043.31 : 3,063.65 = 874.08 : x
  2. Step 2: Convert to fraction form
    2,043.31/3,063.65 = 874.08/x
  3. Step 3: Cross multiply
    2,043.31x = 3,063.65 × 874.08
  4. Step 4: Simplify right side
    2,043.31x = 2,677,855.50
  5. Step 5: Solve for x
    x = 2,677,855.50/2,043.31
  6. Step 6: Final answer
    x = 1,310.55

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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.