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Finding the Fourth Proportional to 2,184.53, 3,276.70 and 541.01

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Solution

The fourth proportional to 2,184.53, 3,276.70 and 541.01 is: 811.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,184.53 : 3,276.70 = 541.01 : x
  2. Step 2: Convert to fraction form
    2,184.53/3,276.70 = 541.01/x
  3. Step 3: Cross multiply
    2,184.53x = 3,276.70 × 541.01
  4. Step 4: Simplify right side
    2,184.53x = 1,772,734.31
  5. Step 5: Solve for x
    x = 1,772,734.31/2,184.53
  6. Step 6: Final answer
    x = 811.50

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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.