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Finding the Fourth Proportional to 1,786.92, 2,465.76 and 1,041

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Solution

The fourth proportional to 1,786.92, 2,465.76 and 1,041 is: 1,436.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,786.92 : 2,465.76 = 1,041 : x
  2. Step 2: Convert to fraction form
    1,786.92/2,465.76 = 1,041/x
  3. Step 3: Cross multiply
    1,786.92x = 2,465.76 × 1,041
  4. Step 4: Simplify right side
    1,786.92x = 2,566,856.16
  5. Step 5: Solve for x
    x = 2,566,856.16/1,786.92
  6. Step 6: Final answer
    x = 1,436.47

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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.