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Finding the Fourth Proportional to 2,184.72, 3,277.02 and 541.23

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Solution

The fourth proportional to 2,184.72, 3,277.02 and 541.23 is: 811.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,184.72 : 3,277.02 = 541.23 : x
  2. Step 2: Convert to fraction form
    2,184.72/3,277.02 = 541.23/x
  3. Step 3: Cross multiply
    2,184.72x = 3,277.02 × 541.23
  4. Step 4: Simplify right side
    2,184.72x = 1,773,621.53
  5. Step 5: Solve for x
    x = 1,773,621.53/2,184.72
  6. Step 6: Final answer
    x = 811.83

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.