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Finding the Fourth Proportional to 2,035.27, 3,041 and 1,505.92

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Solution

The fourth proportional to 2,035.27, 3,041 and 1,505.92 is: 2,250.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,035.27 : 3,041 = 1,505.92 : x
  2. Step 2: Convert to fraction form
    2,035.27/3,041 = 1,505.92/x
  3. Step 3: Cross multiply
    2,035.27x = 3,041 × 1,505.92
  4. Step 4: Simplify right side
    2,035.27x = 4,579,502.72
  5. Step 5: Solve for x
    x = 4,579,502.72/2,035.27
  6. Step 6: Final answer
    x = 2,250.07

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.