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Finding the Fourth Proportional to 2,612.92, 3,606.34 and 1,728.76

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Solution

The fourth proportional to 2,612.92, 3,606.34 and 1,728.76 is: 2,386.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,612.92 : 3,606.34 = 1,728.76 : x
  2. Step 2: Convert to fraction form
    2,612.92/3,606.34 = 1,728.76/x
  3. Step 3: Cross multiply
    2,612.92x = 3,606.34 × 1,728.76
  4. Step 4: Simplify right side
    2,612.92x = 6,234,496.34
  5. Step 5: Solve for x
    x = 6,234,496.34/2,612.92
  6. Step 6: Final answer
    x = 2,386.03

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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.