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Finding the Fourth Proportional to 2,055.20, 3,082.86 and 594.41

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Solution

The fourth proportional to 2,055.20, 3,082.86 and 594.41 is: 891.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,055.20 : 3,082.86 = 594.41 : x
  2. Step 2: Convert to fraction form
    2,055.20/3,082.86 = 594.41/x
  3. Step 3: Cross multiply
    2,055.20x = 3,082.86 × 594.41
  4. Step 4: Simplify right side
    2,055.20x = 1,832,490.52
  5. Step 5: Solve for x
    x = 1,832,490.52/2,055.20
  6. Step 6: Final answer
    x = 891.64

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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.