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Finding the Fourth Proportional to 2,014.27, 2,777.90 and 1,416.89

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Solution

The fourth proportional to 2,014.27, 2,777.90 and 1,416.89 is: 1,954.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,014.27 : 2,777.90 = 1,416.89 : x
  2. Step 2: Convert to fraction form
    2,014.27/2,777.90 = 1,416.89/x
  3. Step 3: Cross multiply
    2,014.27x = 2,777.90 × 1,416.89
  4. Step 4: Simplify right side
    2,014.27x = 3,935,978.59
  5. Step 5: Solve for x
    x = 3,935,978.59/2,014.27
  6. Step 6: Final answer
    x = 1,954.05

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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.