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Finding the Fourth Proportional to 2,055.83, 3,084.23 and 669.17

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Solution

The fourth proportional to 2,055.83, 3,084.23 and 669.17 is: 1,003.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,055.83 : 3,084.23 = 669.17 : x
  2. Step 2: Convert to fraction form
    2,055.83/3,084.23 = 669.17/x
  3. Step 3: Cross multiply
    2,055.83x = 3,084.23 × 669.17
  4. Step 4: Simplify right side
    2,055.83x = 2,063,855.42
  5. Step 5: Solve for x
    x = 2,063,855.42/2,055.83
  6. Step 6: Final answer
    x = 1,003.91

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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.