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Finding the Fourth Proportional to 1,800.21, 2,468.09 and 1,767.41

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Solution

The fourth proportional to 1,800.21, 2,468.09 and 1,767.41 is: 2,423.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,800.21 : 2,468.09 = 1,767.41 : x
  2. Step 2: Convert to fraction form
    1,800.21/2,468.09 = 1,767.41/x
  3. Step 3: Cross multiply
    1,800.21x = 2,468.09 × 1,767.41
  4. Step 4: Simplify right side
    1,800.21x = 4,362,105.77
  5. Step 5: Solve for x
    x = 4,362,105.77/1,800.21
  6. Step 6: Final answer
    x = 2,423.11

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