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Finding the Fourth Proportional to 1,608.16, 2,410.62 and 684.32

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Solution

The fourth proportional to 1,608.16, 2,410.62 and 684.32 is: 1,025.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,608.16 : 2,410.62 = 684.32 : x
  2. Step 2: Convert to fraction form
    1,608.16/2,410.62 = 684.32/x
  3. Step 3: Cross multiply
    1,608.16x = 2,410.62 × 684.32
  4. Step 4: Simplify right side
    1,608.16x = 1,649,635.48
  5. Step 5: Solve for x
    x = 1,649,635.48/1,608.16
  6. Step 6: Final answer
    x = 1,025.79

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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.