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Finding the Fourth Proportional to 2,035, 2,810.96 and 1,504.96

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Solution

The fourth proportional to 2,035, 2,810.96 and 1,504.96 is: 2,078.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,035 : 2,810.96 = 1,504.96 : x
  2. Step 2: Convert to fraction form
    2,035/2,810.96 = 1,504.96/x
  3. Step 3: Cross multiply
    2,035x = 2,810.96 × 1,504.96
  4. Step 4: Simplify right side
    2,035x = 4,230,382.36
  5. Step 5: Solve for x
    x = 4,230,382.36/2,035
  6. Step 6: Final answer
    x = 2,078.81

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.