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Finding the Fourth Proportional to 2,186.52, 3,017.66 and 1,255

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Solution

The fourth proportional to 2,186.52, 3,017.66 and 1,255 is: 1,732.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,186.52 : 3,017.66 = 1,255 : x
  2. Step 2: Convert to fraction form
    2,186.52/3,017.66 = 1,255/x
  3. Step 3: Cross multiply
    2,186.52x = 3,017.66 × 1,255
  4. Step 4: Simplify right side
    2,186.52x = 3,787,163.30
  5. Step 5: Solve for x
    x = 3,787,163.30/2,186.52
  6. Step 6: Final answer
    x = 1,732.05

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.