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Finding the Fourth Proportional to 2,055.74, 3,084.05 and 594.77

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Solution

The fourth proportional to 2,055.74, 3,084.05 and 594.77 is: 892.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,055.74 : 3,084.05 = 594.77 : x
  2. Step 2: Convert to fraction form
    2,055.74/3,084.05 = 594.77/x
  3. Step 3: Cross multiply
    2,055.74x = 3,084.05 × 594.77
  4. Step 4: Simplify right side
    2,055.74x = 1,834,286.49
  5. Step 5: Solve for x
    x = 1,834,286.49/2,055.74
  6. Step 6: Final answer
    x = 892.28

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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.