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Finding the Fourth Proportional to 2,184.72, 3,277 and 541.24

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Solution

The fourth proportional to 2,184.72, 3,277 and 541.24 is: 811.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,184.72 : 3,277 = 541.24 : x
  2. Step 2: Convert to fraction form
    2,184.72/3,277 = 541.24/x
  3. Step 3: Cross multiply
    2,184.72x = 3,277 × 541.24
  4. Step 4: Simplify right side
    2,184.72x = 1,773,643.48
  5. Step 5: Solve for x
    x = 1,773,643.48/2,184.72
  6. Step 6: Final answer
    x = 811.84

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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.