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Finding the Fourth Proportional to 2,379.72, 3,567.06 and 1,082.10

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Solution

The fourth proportional to 2,379.72, 3,567.06 and 1,082.10 is: 1,622.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,379.72 : 3,567.06 = 1,082.10 : x
  2. Step 2: Convert to fraction form
    2,379.72/3,567.06 = 1,082.10/x
  3. Step 3: Cross multiply
    2,379.72x = 3,567.06 × 1,082.10
  4. Step 4: Simplify right side
    2,379.72x = 3,859,915.63
  5. Step 5: Solve for x
    x = 3,859,915.63/2,379.72
  6. Step 6: Final answer
    x = 1,622.00

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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.