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Finding the Fourth Proportional to 1,770.08, 2,453.84 and 1,676.40

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Solution

The fourth proportional to 1,770.08, 2,453.84 and 1,676.40 is: 2,323.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,770.08 : 2,453.84 = 1,676.40 : x
  2. Step 2: Convert to fraction form
    1,770.08/2,453.84 = 1,676.40/x
  3. Step 3: Cross multiply
    1,770.08x = 2,453.84 × 1,676.40
  4. Step 4: Simplify right side
    1,770.08x = 4,113,617.38
  5. Step 5: Solve for x
    x = 4,113,617.38/1,770.08
  6. Step 6: Final answer
    x = 2,323.97

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.