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Finding the Fourth Proportional to 2,014.91, 2,777.96 and 1,305.50

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Solution

The fourth proportional to 2,014.91, 2,777.96 and 1,305.50 is: 1,799.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,014.91 : 2,777.96 = 1,305.50 : x
  2. Step 2: Convert to fraction form
    2,014.91/2,777.96 = 1,305.50/x
  3. Step 3: Cross multiply
    2,014.91x = 2,777.96 × 1,305.50
  4. Step 4: Simplify right side
    2,014.91x = 3,626,636.99
  5. Step 5: Solve for x
    x = 3,626,636.99/2,014.91
  6. Step 6: Final answer
    x = 1,799.90

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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.