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Finding the Fourth Proportional to 1,458.57, 2,185.89 and 799.46

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Solution

The fourth proportional to 1,458.57, 2,185.89 and 799.46 is: 1,198.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,458.57 : 2,185.89 = 799.46 : x
  2. Step 2: Convert to fraction form
    1,458.57/2,185.89 = 799.46/x
  3. Step 3: Cross multiply
    1,458.57x = 2,185.89 × 799.46
  4. Step 4: Simplify right side
    1,458.57x = 1,747,532.63
  5. Step 5: Solve for x
    x = 1,747,532.63/1,458.57
  6. Step 6: Final answer
    x = 1,198.11

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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.