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Finding the Fourth Proportional to 1,676.45, 2,305.30 and 1,455.02

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Solution

The fourth proportional to 1,676.45, 2,305.30 and 1,455.02 is: 2,000.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,676.45 : 2,305.30 = 1,455.02 : x
  2. Step 2: Convert to fraction form
    1,676.45/2,305.30 = 1,455.02/x
  3. Step 3: Cross multiply
    1,676.45x = 2,305.30 × 1,455.02
  4. Step 4: Simplify right side
    1,676.45x = 3,354,238.80
  5. Step 5: Solve for x
    x = 3,354,238.80/1,676.45
  6. Step 6: Final answer
    x = 2,000.80

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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.