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Finding the Fourth Proportional to 2,409.93, 3,614.94 and 849.96

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Solution

The fourth proportional to 2,409.93, 3,614.94 and 849.96 is: 1,274.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,409.93 : 3,614.94 = 849.96 : x
  2. Step 2: Convert to fraction form
    2,409.93/3,614.94 = 849.96/x
  3. Step 3: Cross multiply
    2,409.93x = 3,614.94 × 849.96
  4. Step 4: Simplify right side
    2,409.93x = 3,072,554.40
  5. Step 5: Solve for x
    x = 3,072,554.40/2,409.93
  6. Step 6: Final answer
    x = 1,274.96

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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.