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Finding the Fourth Proportional to 1,785.42, 2,673.27 and 1,167.66

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Solution

The fourth proportional to 1,785.42, 2,673.27 and 1,167.66 is: 1,748.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,785.42 : 2,673.27 = 1,167.66 : x
  2. Step 2: Convert to fraction form
    1,785.42/2,673.27 = 1,167.66/x
  3. Step 3: Cross multiply
    1,785.42x = 2,673.27 × 1,167.66
  4. Step 4: Simplify right side
    1,785.42x = 3,121,470.45
  5. Step 5: Solve for x
    x = 3,121,470.45/1,785.42
  6. Step 6: Final answer
    x = 1,748.31

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.