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Finding the Fourth Proportional to 2,003.76, 3,005.64 and 849.36

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Solution

The fourth proportional to 2,003.76, 3,005.64 and 849.36 is: 1,274.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,003.76 : 3,005.64 = 849.36 : x
  2. Step 2: Convert to fraction form
    2,003.76/3,005.64 = 849.36/x
  3. Step 3: Cross multiply
    2,003.76x = 3,005.64 × 849.36
  4. Step 4: Simplify right side
    2,003.76x = 2,552,870.39
  5. Step 5: Solve for x
    x = 2,552,870.39/2,003.76
  6. Step 6: Final answer
    x = 1,274.04

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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.