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Finding the Fourth Proportional to 3,102.57, 4,653.94 and 911.37

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Solution

The fourth proportional to 3,102.57, 4,653.94 and 911.37 is: 1,367.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,102.57 : 4,653.94 = 911.37 : x
  2. Step 2: Convert to fraction form
    3,102.57/4,653.94 = 911.37/x
  3. Step 3: Cross multiply
    3,102.57x = 4,653.94 × 911.37
  4. Step 4: Simplify right side
    3,102.57x = 4,241,476.47
  5. Step 5: Solve for x
    x = 4,241,476.47/3,102.57
  6. Step 6: Final answer
    x = 1,367.08

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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.