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Finding the Fourth Proportional to 2,908.17, 4,362.29 and 828.23

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Solution

The fourth proportional to 2,908.17, 4,362.29 and 828.23 is: 1,242.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,908.17 : 4,362.29 = 828.23 : x
  2. Step 2: Convert to fraction form
    2,908.17/4,362.29 = 828.23/x
  3. Step 3: Cross multiply
    2,908.17x = 4,362.29 × 828.23
  4. Step 4: Simplify right side
    2,908.17x = 3,612,956.60
  5. Step 5: Solve for x
    x = 3,612,956.60/2,908.17
  6. Step 6: Final answer
    x = 1,242.35

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.