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Finding the Fourth Proportional to 1,776.08, 2,452.68 and 1,679.12

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Solution

The fourth proportional to 1,776.08, 2,452.68 and 1,679.12 is: 2,318.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,776.08 : 2,452.68 = 1,679.12 : x
  2. Step 2: Convert to fraction form
    1,776.08/2,452.68 = 1,679.12/x
  3. Step 3: Cross multiply
    1,776.08x = 2,452.68 × 1,679.12
  4. Step 4: Simplify right side
    1,776.08x = 4,118,344.04
  5. Step 5: Solve for x
    x = 4,118,344.04/1,776.08
  6. Step 6: Final answer
    x = 2,318.78

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.