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Finding the Fourth Proportional to 2,910.53, 4,014.97 and 2,165.13

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Solution

The fourth proportional to 2,910.53, 4,014.97 and 2,165.13 is: 2,986.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,910.53 : 4,014.97 = 2,165.13 : x
  2. Step 2: Convert to fraction form
    2,910.53/4,014.97 = 2,165.13/x
  3. Step 3: Cross multiply
    2,910.53x = 4,014.97 × 2,165.13
  4. Step 4: Simplify right side
    2,910.53x = 8,692,926.58
  5. Step 5: Solve for x
    x = 8,692,926.58/2,910.53
  6. Step 6: Final answer
    x = 2,986.71

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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.