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Finding the Fourth Proportional to 1,596.69, 2,392.16 and 911.25

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Solution

The fourth proportional to 1,596.69, 2,392.16 and 911.25 is: 1,365.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,596.69 : 2,392.16 = 911.25 : x
  2. Step 2: Convert to fraction form
    1,596.69/2,392.16 = 911.25/x
  3. Step 3: Cross multiply
    1,596.69x = 2,392.16 × 911.25
  4. Step 4: Simplify right side
    1,596.69x = 2,179,851.24
  5. Step 5: Solve for x
    x = 2,179,851.24/1,596.69
  6. Step 6: Final answer
    x = 1,365.23

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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.