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Finding the Fourth Proportional to 2,965.93, 4,446.43 and 1,116.02

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Solution

The fourth proportional to 2,965.93, 4,446.43 and 1,116.02 is: 1,673.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,965.93 : 4,446.43 = 1,116.02 : x
  2. Step 2: Convert to fraction form
    2,965.93/4,446.43 = 1,116.02/x
  3. Step 3: Cross multiply
    2,965.93x = 4,446.43 × 1,116.02
  4. Step 4: Simplify right side
    2,965.93x = 4,962,313.13
  5. Step 5: Solve for x
    x = 4,962,313.13/2,965.93
  6. Step 6: Final answer
    x = 1,673.11

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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.