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Finding the Fourth Proportional to 2,055.56, 3,083.46 and 594.92

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Solution

The fourth proportional to 2,055.56, 3,083.46 and 594.92 is: 892.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,055.56 : 3,083.46 = 594.92 : x
  2. Step 2: Convert to fraction form
    2,055.56/3,083.46 = 594.92/x
  3. Step 3: Cross multiply
    2,055.56x = 3,083.46 × 594.92
  4. Step 4: Simplify right side
    2,055.56x = 1,834,412.02
  5. Step 5: Solve for x
    x = 1,834,412.02/2,055.56
  6. Step 6: Final answer
    x = 892.41

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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.