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Finding the Fourth Proportional to 1,795.80, 2,467.68 and 1,463.52

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Solution

The fourth proportional to 1,795.80, 2,467.68 and 1,463.52 is: 2,011.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,795.80 : 2,467.68 = 1,463.52 : x
  2. Step 2: Convert to fraction form
    1,795.80/2,467.68 = 1,463.52/x
  3. Step 3: Cross multiply
    1,795.80x = 2,467.68 × 1,463.52
  4. Step 4: Simplify right side
    1,795.80x = 3,611,499.03
  5. Step 5: Solve for x
    x = 3,611,499.03/1,795.80
  6. Step 6: Final answer
    x = 2,011.08

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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.