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Finding the Fourth Proportional to 3,082.63, 4,623.98 and 891.38

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Solution

The fourth proportional to 3,082.63, 4,623.98 and 891.38 is: 1,337.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,082.63 : 4,623.98 = 891.38 : x
  2. Step 2: Convert to fraction form
    3,082.63/4,623.98 = 891.38/x
  3. Step 3: Cross multiply
    3,082.63x = 4,623.98 × 891.38
  4. Step 4: Simplify right side
    3,082.63x = 4,121,695.72
  5. Step 5: Solve for x
    x = 4,121,695.72/3,082.63
  6. Step 6: Final answer
    x = 1,337.07

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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.