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Finding the Fourth Proportional to 2,186.76, 3,017.61 and 1,255.26

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Solution

The fourth proportional to 2,186.76, 3,017.61 and 1,255.26 is: 1,732.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,186.76 : 3,017.61 = 1,255.26 : x
  2. Step 2: Convert to fraction form
    2,186.76/3,017.61 = 1,255.26/x
  3. Step 3: Cross multiply
    2,186.76x = 3,017.61 × 1,255.26
  4. Step 4: Simplify right side
    2,186.76x = 3,787,885.13
  5. Step 5: Solve for x
    x = 3,787,885.13/2,186.76
  6. Step 6: Final answer
    x = 1,732.19

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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.