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Finding the Fourth Proportional to 2,177.46, 3,266.16 and 533.99

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Solution

The fourth proportional to 2,177.46, 3,266.16 and 533.99 is: 800.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,177.46 : 3,266.16 = 533.99 : x
  2. Step 2: Convert to fraction form
    2,177.46/3,266.16 = 533.99/x
  3. Step 3: Cross multiply
    2,177.46x = 3,266.16 × 533.99
  4. Step 4: Simplify right side
    2,177.46x = 1,744,080.45
  5. Step 5: Solve for x
    x = 1,744,080.45/2,177.46
  6. Step 6: Final answer
    x = 800.97

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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.