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Finding the Fourth Proportional to 1,676.16, 2,309.18 and 1,439.32

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Solution

The fourth proportional to 1,676.16, 2,309.18 and 1,439.32 is: 1,982.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,676.16 : 2,309.18 = 1,439.32 : x
  2. Step 2: Convert to fraction form
    1,676.16/2,309.18 = 1,439.32/x
  3. Step 3: Cross multiply
    1,676.16x = 2,309.18 × 1,439.32
  4. Step 4: Simplify right side
    1,676.16x = 3,323,648.96
  5. Step 5: Solve for x
    x = 3,323,648.96/1,676.16
  6. Step 6: Final answer
    x = 1,982.89

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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.