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Finding the Fourth Proportional to 2,034.93, 3,049.14 and 1,303.90

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Solution

The fourth proportional to 2,034.93, 3,049.14 and 1,303.90 is: 1,953.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,034.93 : 3,049.14 = 1,303.90 : x
  2. Step 2: Convert to fraction form
    2,034.93/3,049.14 = 1,303.90/x
  3. Step 3: Cross multiply
    2,034.93x = 3,049.14 × 1,303.90
  4. Step 4: Simplify right side
    2,034.93x = 3,975,773.65
  5. Step 5: Solve for x
    x = 3,975,773.65/2,034.93
  6. Step 6: Final answer
    x = 1,953.76

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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.