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Finding the Fourth Proportional to 2,055.53, 3,083.74 and 594.62

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Solution

The fourth proportional to 2,055.53, 3,083.74 and 594.62 is: 892.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,055.53 : 3,083.74 = 594.62 : x
  2. Step 2: Convert to fraction form
    2,055.53/3,083.74 = 594.62/x
  3. Step 3: Cross multiply
    2,055.53x = 3,083.74 × 594.62
  4. Step 4: Simplify right side
    2,055.53x = 1,833,659.70
  5. Step 5: Solve for x
    x = 1,833,659.70/2,055.53
  6. Step 6: Final answer
    x = 892.06

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.