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Finding the Fourth Proportional to 1,676.09, 2,313.02 and 1,012.82

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Solution

The fourth proportional to 1,676.09, 2,313.02 and 1,012.82 is: 1,397.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,676.09 : 2,313.02 = 1,012.82 : x
  2. Step 2: Convert to fraction form
    1,676.09/2,313.02 = 1,012.82/x
  3. Step 3: Cross multiply
    1,676.09x = 2,313.02 × 1,012.82
  4. Step 4: Simplify right side
    1,676.09x = 2,342,667.85
  5. Step 5: Solve for x
    x = 2,342,667.85/1,676.09
  6. Step 6: Final answer
    x = 1,397.70

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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.