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Finding the Fourth Proportional to 1,654.54, 2,482.83 and 680.65

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Solution

The fourth proportional to 1,654.54, 2,482.83 and 680.65 is: 1,021.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,654.54 : 2,482.83 = 680.65 : x
  2. Step 2: Convert to fraction form
    1,654.54/2,482.83 = 680.65/x
  3. Step 3: Cross multiply
    1,654.54x = 2,482.83 × 680.65
  4. Step 4: Simplify right side
    1,654.54x = 1,689,932.03
  5. Step 5: Solve for x
    x = 1,689,932.03/1,654.54
  6. Step 6: Final answer
    x = 1,021.39

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.