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Finding the Fourth Proportional to 3,177, 4,767.84 and 1,534.48

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Solution

The fourth proportional to 3,177, 4,767.84 and 1,534.48 is: 2,302.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,177 : 4,767.84 = 1,534.48 : x
  2. Step 2: Convert to fraction form
    3,177/4,767.84 = 1,534.48/x
  3. Step 3: Cross multiply
    3,177x = 4,767.84 × 1,534.48
  4. Step 4: Simplify right side
    3,177x = 7,316,155.12
  5. Step 5: Solve for x
    x = 7,316,155.12/3,177
  6. Step 6: Final answer
    x = 2,302.85

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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.