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Finding the Fourth Proportional to 2,965.64, 4,447.43 and 1,651.40

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Solution

The fourth proportional to 2,965.64, 4,447.43 and 1,651.40 is: 2,476.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,965.64 : 4,447.43 = 1,651.40 : x
  2. Step 2: Convert to fraction form
    2,965.64/4,447.43 = 1,651.40/x
  3. Step 3: Cross multiply
    2,965.64x = 4,447.43 × 1,651.40
  4. Step 4: Simplify right side
    2,965.64x = 7,344,455.41
  5. Step 5: Solve for x
    x = 7,344,455.41/2,965.64
  6. Step 6: Final answer
    x = 2,476.52

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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.