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Finding the Fourth Proportional to 2,409.45, 3,614.39 and 849.29

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Solution

The fourth proportional to 2,409.45, 3,614.39 and 849.29 is: 1,274.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,409.45 : 3,614.39 = 849.29 : x
  2. Step 2: Convert to fraction form
    2,409.45/3,614.39 = 849.29/x
  3. Step 3: Cross multiply
    2,409.45x = 3,614.39 × 849.29
  4. Step 4: Simplify right side
    2,409.45x = 3,069,646.15
  5. Step 5: Solve for x
    x = 3,069,646.15/2,409.45
  6. Step 6: Final answer
    x = 1,274.00

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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.