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Finding the Fourth Proportional to 1,676.85, 2,314.16 and 968.83

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Solution

The fourth proportional to 1,676.85, 2,314.16 and 968.83 is: 1,337.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,676.85 : 2,314.16 = 968.83 : x
  2. Step 2: Convert to fraction form
    1,676.85/2,314.16 = 968.83/x
  3. Step 3: Cross multiply
    1,676.85x = 2,314.16 × 968.83
  4. Step 4: Simplify right side
    1,676.85x = 2,242,011.22
  5. Step 5: Solve for x
    x = 2,242,011.22/1,676.85
  6. Step 6: Final answer
    x = 1,337.04

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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.