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Finding the Fourth Proportional to 2,676.30, 3,688.92 and 1,929.21

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Solution

The fourth proportional to 2,676.30, 3,688.92 and 1,929.21 is: 2,659.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,676.30 : 3,688.92 = 1,929.21 : x
  2. Step 2: Convert to fraction form
    2,676.30/3,688.92 = 1,929.21/x
  3. Step 3: Cross multiply
    2,676.30x = 3,688.92 × 1,929.21
  4. Step 4: Simplify right side
    2,676.30x = 7,116,701.35
  5. Step 5: Solve for x
    x = 7,116,701.35/2,676.30
  6. Step 6: Final answer
    x = 2,659.16

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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.