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Finding the Fourth Proportional to 1,679.40, 2,515.26 and 1,642.92

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Solution

The fourth proportional to 1,679.40, 2,515.26 and 1,642.92 is: 2,460.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,679.40 : 2,515.26 = 1,642.92 : x
  2. Step 2: Convert to fraction form
    1,679.40/2,515.26 = 1,642.92/x
  3. Step 3: Cross multiply
    1,679.40x = 2,515.26 × 1,642.92
  4. Step 4: Simplify right side
    1,679.40x = 4,132,370.96
  5. Step 5: Solve for x
    x = 4,132,370.96/1,679.40
  6. Step 6: Final answer
    x = 2,460.62

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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.