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Finding the Fourth Proportional to 2,703.83, 3,729.43 and 1,656.41

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Solution

The fourth proportional to 2,703.83, 3,729.43 and 1,656.41 is: 2,284.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,703.83 : 3,729.43 = 1,656.41 : x
  2. Step 2: Convert to fraction form
    2,703.83/3,729.43 = 1,656.41/x
  3. Step 3: Cross multiply
    2,703.83x = 3,729.43 × 1,656.41
  4. Step 4: Simplify right side
    2,703.83x = 6,177,465.15
  5. Step 5: Solve for x
    x = 6,177,465.15/2,703.83
  6. Step 6: Final answer
    x = 2,284.71

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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.