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Finding the Fourth Proportional to 2,473.16, 3,708.54 and 828.55

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Solution

The fourth proportional to 2,473.16, 3,708.54 and 828.55 is: 1,242.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,473.16 : 3,708.54 = 828.55 : x
  2. Step 2: Convert to fraction form
    2,473.16/3,708.54 = 828.55/x
  3. Step 3: Cross multiply
    2,473.16x = 3,708.54 × 828.55
  4. Step 4: Simplify right side
    2,473.16x = 3,072,722.16
  5. Step 5: Solve for x
    x = 3,072,722.16/2,473.16
  6. Step 6: Final answer
    x = 1,242.43

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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.