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Finding the Fourth Proportional to 2,004.64, 3,006.96 and 849.58

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Solution

The fourth proportional to 2,004.64, 3,006.96 and 849.58 is: 1,274.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,004.64 : 3,006.96 = 849.58 : x
  2. Step 2: Convert to fraction form
    2,004.64/3,006.96 = 849.58/x
  3. Step 3: Cross multiply
    2,004.64x = 3,006.96 × 849.58
  4. Step 4: Simplify right side
    2,004.64x = 2,554,653.08
  5. Step 5: Solve for x
    x = 2,554,653.08/2,004.64
  6. Step 6: Final answer
    x = 1,274.37

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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.