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Finding the Fourth Proportional to 2,785.41, 3,843.99 and 1,666.98

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Solution

The fourth proportional to 2,785.41, 3,843.99 and 1,666.98 is: 2,300.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,785.41 : 3,843.99 = 1,666.98 : x
  2. Step 2: Convert to fraction form
    2,785.41/3,843.99 = 1,666.98/x
  3. Step 3: Cross multiply
    2,785.41x = 3,843.99 × 1,666.98
  4. Step 4: Simplify right side
    2,785.41x = 6,407,854.45
  5. Step 5: Solve for x
    x = 6,407,854.45/2,785.41
  6. Step 6: Final answer
    x = 2,300.51

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