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Finding the Fourth Proportional to 1,676.84, 2,314.05 and 1,013.57

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Solution

The fourth proportional to 1,676.84, 2,314.05 and 1,013.57 is: 1,398.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,676.84 : 2,314.05 = 1,013.57 : x
  2. Step 2: Convert to fraction form
    1,676.84/2,314.05 = 1,013.57/x
  3. Step 3: Cross multiply
    1,676.84x = 2,314.05 × 1,013.57
  4. Step 4: Simplify right side
    1,676.84x = 2,345,451.66
  5. Step 5: Solve for x
    x = 2,345,451.66/1,676.84
  6. Step 6: Final answer
    x = 1,398.73

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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.