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Finding the Fourth Proportional to 2,178.01, 3,267.08 and 534.55

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Solution

The fourth proportional to 2,178.01, 3,267.08 and 534.55 is: 801.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,178.01 : 3,267.08 = 534.55 : x
  2. Step 2: Convert to fraction form
    2,178.01/3,267.08 = 534.55/x
  3. Step 3: Cross multiply
    2,178.01x = 3,267.08 × 534.55
  4. Step 4: Simplify right side
    2,178.01x = 1,746,414.94
  5. Step 5: Solve for x
    x = 1,746,414.94/2,178.01
  6. Step 6: Final answer
    x = 801.84

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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.