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Finding the Fourth Proportional to 1,676.46, 2,314.65 and 1,047.96

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Solution

The fourth proportional to 1,676.46, 2,314.65 and 1,047.96 is: 1,446.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,676.46 : 2,314.65 = 1,047.96 : x
  2. Step 2: Convert to fraction form
    1,676.46/2,314.65 = 1,047.96/x
  3. Step 3: Cross multiply
    1,676.46x = 2,314.65 × 1,047.96
  4. Step 4: Simplify right side
    1,676.46x = 2,425,660.61
  5. Step 5: Solve for x
    x = 2,425,660.61/1,676.46
  6. Step 6: Final answer
    x = 1,446.89

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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.