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Finding the Fourth Proportional to 2,014.95, 2,780.73 and 1,131.03

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Solution

The fourth proportional to 2,014.95, 2,780.73 and 1,131.03 is: 1,560.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,014.95 : 2,780.73 = 1,131.03 : x
  2. Step 2: Convert to fraction form
    2,014.95/2,780.73 = 1,131.03/x
  3. Step 3: Cross multiply
    2,014.95x = 2,780.73 × 1,131.03
  4. Step 4: Simplify right side
    2,014.95x = 3,145,089.05
  5. Step 5: Solve for x
    x = 3,145,089.05/2,014.95
  6. Step 6: Final answer
    x = 1,560.88

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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.