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Finding the Fourth Proportional to 3,177, 4,765.50 and 1,534.92

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Solution

The fourth proportional to 3,177, 4,765.50 and 1,534.92 is: 2,302.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,177 : 4,765.50 = 1,534.92 : x
  2. Step 2: Convert to fraction form
    3,177/4,765.50 = 1,534.92/x
  3. Step 3: Cross multiply
    3,177x = 4,765.50 × 1,534.92
  4. Step 4: Simplify right side
    3,177x = 7,314,661.26
  5. Step 5: Solve for x
    x = 7,314,661.26/3,177
  6. Step 6: Final answer
    x = 2,302.38

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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.