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Finding the Fourth Proportional to 2,309.16, 3,463.79 and 828.48

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Solution

The fourth proportional to 2,309.16, 3,463.79 and 828.48 is: 1,242.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,309.16 : 3,463.79 = 828.48 : x
  2. Step 2: Convert to fraction form
    2,309.16/3,463.79 = 828.48/x
  3. Step 3: Cross multiply
    2,309.16x = 3,463.79 × 828.48
  4. Step 4: Simplify right side
    2,309.16x = 2,869,670.10
  5. Step 5: Solve for x
    x = 2,869,670.10/2,309.16
  6. Step 6: Final answer
    x = 1,242.73

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Why These Related Problems?

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