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Finding the Fourth Proportional to 2,436.09, 3,654.15 and 704.71

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Solution

The fourth proportional to 2,436.09, 3,654.15 and 704.71 is: 1,057.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,436.09 : 3,654.15 = 704.71 : x
  2. Step 2: Convert to fraction form
    2,436.09/3,654.15 = 704.71/x
  3. Step 3: Cross multiply
    2,436.09x = 3,654.15 × 704.71
  4. Step 4: Simplify right side
    2,436.09x = 2,575,116.05
  5. Step 5: Solve for x
    x = 2,575,116.05/2,436.09
  6. Step 6: Final answer
    x = 1,057.07

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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.