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Finding the Fourth Proportional to 2,034.45, 3,052.53 and 1,305.45

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Solution

The fourth proportional to 2,034.45, 3,052.53 and 1,305.45 is: 1,958.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,034.45 : 3,052.53 = 1,305.45 : x
  2. Step 2: Convert to fraction form
    2,034.45/3,052.53 = 1,305.45/x
  3. Step 3: Cross multiply
    2,034.45x = 3,052.53 × 1,305.45
  4. Step 4: Simplify right side
    2,034.45x = 3,984,925.29
  5. Step 5: Solve for x
    x = 3,984,925.29/2,034.45
  6. Step 6: Final answer
    x = 1,958.72

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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.