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Finding the Fourth Proportional to 1,562.41, 2,343.62 and 408.16

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Solution

The fourth proportional to 1,562.41, 2,343.62 and 408.16 is: 612.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,562.41 : 2,343.62 = 408.16 : x
  2. Step 2: Convert to fraction form
    1,562.41/2,343.62 = 408.16/x
  3. Step 3: Cross multiply
    1,562.41x = 2,343.62 × 408.16
  4. Step 4: Simplify right side
    1,562.41x = 956,571.94
  5. Step 5: Solve for x
    x = 956,571.94/1,562.41
  6. Step 6: Final answer
    x = 612.24

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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.