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Finding the Fourth Proportional to 1,786.68, 2,465.77 and 1,040.87

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Solution

The fourth proportional to 1,786.68, 2,465.77 and 1,040.87 is: 1,436.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,786.68 : 2,465.77 = 1,040.87 : x
  2. Step 2: Convert to fraction form
    1,786.68/2,465.77 = 1,040.87/x
  3. Step 3: Cross multiply
    1,786.68x = 2,465.77 × 1,040.87
  4. Step 4: Simplify right side
    1,786.68x = 2,566,546.02
  5. Step 5: Solve for x
    x = 2,566,546.02/1,786.68
  6. Step 6: Final answer
    x = 1,436.49

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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.