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Finding the Fourth Proportional to 2,082.42, 3,126.42 and 1,776.24

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Solution

The fourth proportional to 2,082.42, 3,126.42 and 1,776.24 is: 2,666.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,082.42 : 3,126.42 = 1,776.24 : x
  2. Step 2: Convert to fraction form
    2,082.42/3,126.42 = 1,776.24/x
  3. Step 3: Cross multiply
    2,082.42x = 3,126.42 × 1,776.24
  4. Step 4: Simplify right side
    2,082.42x = 5,553,272.26
  5. Step 5: Solve for x
    x = 5,553,272.26/2,082.42
  6. Step 6: Final answer
    x = 2,666.74

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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.