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Finding the Fourth Proportional to 2,055.57, 3,083.42 and 594.73

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Solution

The fourth proportional to 2,055.57, 3,083.42 and 594.73 is: 892.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,055.57 : 3,083.42 = 594.73 : x
  2. Step 2: Convert to fraction form
    2,055.57/3,083.42 = 594.73/x
  3. Step 3: Cross multiply
    2,055.57x = 3,083.42 × 594.73
  4. Step 4: Simplify right side
    2,055.57x = 1,833,802.38
  5. Step 5: Solve for x
    x = 1,833,802.38/2,055.57
  6. Step 6: Final answer
    x = 892.11

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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.