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Finding the Fourth Proportional to 1,809.82, 2,496.85 and 1,063.50

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Solution

The fourth proportional to 1,809.82, 2,496.85 and 1,063.50 is: 1,467.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,809.82 : 2,496.85 = 1,063.50 : x
  2. Step 2: Convert to fraction form
    1,809.82/2,496.85 = 1,063.50/x
  3. Step 3: Cross multiply
    1,809.82x = 2,496.85 × 1,063.50
  4. Step 4: Simplify right side
    1,809.82x = 2,655,399.98
  5. Step 5: Solve for x
    x = 2,655,399.98/1,809.82
  6. Step 6: Final answer
    x = 1,467.22

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.