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Finding the Fourth Proportional to 2,965.79, 4,451.36 and 1,580.28

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Solution

The fourth proportional to 2,965.79, 4,451.36 and 1,580.28 is: 2,371.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,965.79 : 4,451.36 = 1,580.28 : x
  2. Step 2: Convert to fraction form
    2,965.79/4,451.36 = 1,580.28/x
  3. Step 3: Cross multiply
    2,965.79x = 4,451.36 × 1,580.28
  4. Step 4: Simplify right side
    2,965.79x = 7,034,387.28
  5. Step 5: Solve for x
    x = 7,034,387.28/2,965.79
  6. Step 6: Final answer
    x = 2,371.85

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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.