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Finding the Fourth Proportional to 2,174.13, 3,255.66 and 1,885.68

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Solution

The fourth proportional to 2,174.13, 3,255.66 and 1,885.68 is: 2,823.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,174.13 : 3,255.66 = 1,885.68 : x
  2. Step 2: Convert to fraction form
    2,174.13/3,255.66 = 1,885.68/x
  3. Step 3: Cross multiply
    2,174.13x = 3,255.66 × 1,885.68
  4. Step 4: Simplify right side
    2,174.13x = 6,139,132.95
  5. Step 5: Solve for x
    x = 6,139,132.95/2,174.13
  6. Step 6: Final answer
    x = 2,823.72

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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.