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Finding the Fourth Proportional to 1,800.44, 2,468.42 and 1,767.56

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Solution

The fourth proportional to 1,800.44, 2,468.42 and 1,767.56 is: 2,423.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,800.44 : 2,468.42 = 1,767.56 : x
  2. Step 2: Convert to fraction form
    1,800.44/2,468.42 = 1,767.56/x
  3. Step 3: Cross multiply
    1,800.44x = 2,468.42 × 1,767.56
  4. Step 4: Simplify right side
    1,800.44x = 4,363,080.46
  5. Step 5: Solve for x
    x = 4,363,080.46/1,800.44
  6. Step 6: Final answer
    x = 2,423.34

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.