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Finding the Fourth Proportional to 2,052.86, 3,080.28 and 1,013.60

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Solution

The fourth proportional to 2,052.86, 3,080.28 and 1,013.60 is: 1,520.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,052.86 : 3,080.28 = 1,013.60 : x
  2. Step 2: Convert to fraction form
    2,052.86/3,080.28 = 1,013.60/x
  3. Step 3: Cross multiply
    2,052.86x = 3,080.28 × 1,013.60
  4. Step 4: Simplify right side
    2,052.86x = 3,122,171.81
  5. Step 5: Solve for x
    x = 3,122,171.81/2,052.86
  6. Step 6: Final answer
    x = 1,520.89

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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.