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Finding the Fourth Proportional to 2,055.32, 3,082.96 and 594.46

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Solution

The fourth proportional to 2,055.32, 3,082.96 and 594.46 is: 891.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,055.32 : 3,082.96 = 594.46 : x
  2. Step 2: Convert to fraction form
    2,055.32/3,082.96 = 594.46/x
  3. Step 3: Cross multiply
    2,055.32x = 3,082.96 × 594.46
  4. Step 4: Simplify right side
    2,055.32x = 1,832,696.40
  5. Step 5: Solve for x
    x = 1,832,696.40/2,055.32
  6. Step 6: Final answer
    x = 891.68

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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.