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Finding the Fourth Proportional to 2,409.93, 3,614.36 and 849.47

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Solution

The fourth proportional to 2,409.93, 3,614.36 and 849.47 is: 1,274.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,409.93 : 3,614.36 = 849.47 : x
  2. Step 2: Convert to fraction form
    2,409.93/3,614.36 = 849.47/x
  3. Step 3: Cross multiply
    2,409.93x = 3,614.36 × 849.47
  4. Step 4: Simplify right side
    2,409.93x = 3,070,268.07
  5. Step 5: Solve for x
    x = 3,070,268.07/2,409.93
  6. Step 6: Final answer
    x = 1,274.01

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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.