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Finding the Fourth Proportional to 3,082.45, 4,623.58 and 891.40

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Solution

The fourth proportional to 3,082.45, 4,623.58 and 891.40 is: 1,337.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,082.45 : 4,623.58 = 891.40 : x
  2. Step 2: Convert to fraction form
    3,082.45/4,623.58 = 891.40/x
  3. Step 3: Cross multiply
    3,082.45x = 4,623.58 × 891.40
  4. Step 4: Simplify right side
    3,082.45x = 4,121,459.21
  5. Step 5: Solve for x
    x = 4,121,459.21/3,082.45
  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.