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Finding the Fourth Proportional to 4,305.88, 6,460.18 and 1,965.79

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Solution

The fourth proportional to 4,305.88, 6,460.18 and 1,965.79 is: 2,949.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,305.88 : 6,460.18 = 1,965.79 : x
  2. Step 2: Convert to fraction form
    4,305.88/6,460.18 = 1,965.79/x
  3. Step 3: Cross multiply
    4,305.88x = 6,460.18 × 1,965.79
  4. Step 4: Simplify right side
    4,305.88x = 12,699,336.18
  5. Step 5: Solve for x
    x = 12,699,336.18/4,305.88
  6. Step 6: Final answer
    x = 2,949.30

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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.