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Finding the Fourth Proportional to 2,655.75, 3,983.63 and 1,116.75

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Solution

The fourth proportional to 2,655.75, 3,983.63 and 1,116.75 is: 1,675.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,655.75 : 3,983.63 = 1,116.75 : x
  2. Step 2: Convert to fraction form
    2,655.75/3,983.63 = 1,116.75/x
  3. Step 3: Cross multiply
    2,655.75x = 3,983.63 × 1,116.75
  4. Step 4: Simplify right side
    2,655.75x = 4,448,713.22
  5. Step 5: Solve for x
    x = 4,448,713.22/2,655.75
  6. Step 6: Final answer
    x = 1,675.13

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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.