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Finding the Fourth Proportional to 1,854.34, 2,770.63 and 1,789.75

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Solution

The fourth proportional to 1,854.34, 2,770.63 and 1,789.75 is: 2,674.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,854.34 : 2,770.63 = 1,789.75 : x
  2. Step 2: Convert to fraction form
    1,854.34/2,770.63 = 1,789.75/x
  3. Step 3: Cross multiply
    1,854.34x = 2,770.63 × 1,789.75
  4. Step 4: Simplify right side
    1,854.34x = 4,958,735.04
  5. Step 5: Solve for x
    x = 4,958,735.04/1,854.34
  6. Step 6: Final answer
    x = 2,674.12

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.