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Finding the Fourth Proportional to 1,851.12, 2,774.16 and 1,082.16

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Solution

The fourth proportional to 1,851.12, 2,774.16 and 1,082.16 is: 1,621.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,851.12 : 2,774.16 = 1,082.16 : x
  2. Step 2: Convert to fraction form
    1,851.12/2,774.16 = 1,082.16/x
  3. Step 3: Cross multiply
    1,851.12x = 2,774.16 × 1,082.16
  4. Step 4: Simplify right side
    1,851.12x = 3,002,084.99
  5. Step 5: Solve for x
    x = 3,002,084.99/1,851.12
  6. Step 6: Final answer
    x = 1,621.77

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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.