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Finding the Fourth Proportional to 2,504.85, 3,458.48 and 1,666.73

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Solution

The fourth proportional to 2,504.85, 3,458.48 and 1,666.73 is: 2,301.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,504.85 : 3,458.48 = 1,666.73 : x
  2. Step 2: Convert to fraction form
    2,504.85/3,458.48 = 1,666.73/x
  3. Step 3: Cross multiply
    2,504.85x = 3,458.48 × 1,666.73
  4. Step 4: Simplify right side
    2,504.85x = 5,764,326.74
  5. Step 5: Solve for x
    x = 5,764,326.74/2,504.85
  6. Step 6: Final answer
    x = 2,301.27

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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.