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Finding the Fourth Proportional to 2,965.72, 4,448.56 and 2,317

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Solution

The fourth proportional to 2,965.72, 4,448.56 and 2,317 is: 3,475.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,965.72 : 4,448.56 = 2,317 : x
  2. Step 2: Convert to fraction form
    2,965.72/4,448.56 = 2,317/x
  3. Step 3: Cross multiply
    2,965.72x = 4,448.56 × 2,317
  4. Step 4: Simplify right side
    2,965.72x = 10,307,313.52
  5. Step 5: Solve for x
    x = 10,307,313.52/2,965.72
  6. Step 6: Final answer
    x = 3,475.48

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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.