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Finding the Fourth Proportional to 2,184.56, 3,014.61 and 1,253

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Solution

The fourth proportional to 2,184.56, 3,014.61 and 1,253 is: 1,729.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,184.56 : 3,014.61 = 1,253 : x
  2. Step 2: Convert to fraction form
    2,184.56/3,014.61 = 1,253/x
  3. Step 3: Cross multiply
    2,184.56x = 3,014.61 × 1,253
  4. Step 4: Simplify right side
    2,184.56x = 3,777,306.33
  5. Step 5: Solve for x
    x = 3,777,306.33/2,184.56
  6. Step 6: Final answer
    x = 1,729.09

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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.