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Finding the Fourth Proportional to 1,662.54, 2,496.62 and 1,596.32

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Solution

The fourth proportional to 1,662.54, 2,496.62 and 1,596.32 is: 2,397.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,662.54 : 2,496.62 = 1,596.32 : x
  2. Step 2: Convert to fraction form
    1,662.54/2,496.62 = 1,596.32/x
  3. Step 3: Cross multiply
    1,662.54x = 2,496.62 × 1,596.32
  4. Step 4: Simplify right side
    1,662.54x = 3,985,404.44
  5. Step 5: Solve for x
    x = 3,985,404.44/1,662.54
  6. Step 6: Final answer
    x = 2,397.18

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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.