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Finding the Fourth Proportional to 1,584.05, 2,185.97 and 920.90

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Solution

The fourth proportional to 1,584.05, 2,185.97 and 920.90 is: 1,270.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,584.05 : 2,185.97 = 920.90 : x
  2. Step 2: Convert to fraction form
    1,584.05/2,185.97 = 920.90/x
  3. Step 3: Cross multiply
    1,584.05x = 2,185.97 × 920.90
  4. Step 4: Simplify right side
    1,584.05x = 2,013,060.63
  5. Step 5: Solve for x
    x = 2,013,060.63/1,584.05
  6. Step 6: Final answer
    x = 1,270.84

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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.