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Finding the Fourth Proportional to 2,409.68, 3,614.56 and 849.68

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Solution

The fourth proportional to 2,409.68, 3,614.56 and 849.68 is: 1,274.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,409.68 : 3,614.56 = 849.68 : x
  2. Step 2: Convert to fraction form
    2,409.68/3,614.56 = 849.68/x
  3. Step 3: Cross multiply
    2,409.68x = 3,614.56 × 849.68
  4. Step 4: Simplify right side
    2,409.68x = 3,071,219.34
  5. Step 5: Solve for x
    x = 3,071,219.34/2,409.68
  6. Step 6: Final answer
    x = 1,274.53

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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.