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Finding the Fourth Proportional to 3,082.98, 4,617.16 and 1,767.45

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Solution

The fourth proportional to 3,082.98, 4,617.16 and 1,767.45 is: 2,646.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,082.98 : 4,617.16 = 1,767.45 : x
  2. Step 2: Convert to fraction form
    3,082.98/4,617.16 = 1,767.45/x
  3. Step 3: Cross multiply
    3,082.98x = 4,617.16 × 1,767.45
  4. Step 4: Simplify right side
    3,082.98x = 8,160,578.35
  5. Step 5: Solve for x
    x = 8,160,578.35/3,082.98
  6. Step 6: Final answer
    x = 2,646.98

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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.