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Finding the Fourth Proportional to 2,655, 3,983.08 and 1,011.55

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Solution

The fourth proportional to 2,655, 3,983.08 and 1,011.55 is: 1,517.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,655 : 3,983.08 = 1,011.55 : x
  2. Step 2: Convert to fraction form
    2,655/3,983.08 = 1,011.55/x
  3. Step 3: Cross multiply
    2,655x = 3,983.08 × 1,011.55
  4. Step 4: Simplify right side
    2,655x = 4,029,084.57
  5. Step 5: Solve for x
    x = 4,029,084.57/2,655
  6. Step 6: Final answer
    x = 1,517.55

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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.