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Finding the Fourth Proportional to 2,037.56, 3,057.24 and 1,160.02

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Solution

The fourth proportional to 2,037.56, 3,057.24 and 1,160.02 is: 1,740.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,037.56 : 3,057.24 = 1,160.02 : x
  2. Step 2: Convert to fraction form
    2,037.56/3,057.24 = 1,160.02/x
  3. Step 3: Cross multiply
    2,037.56x = 3,057.24 × 1,160.02
  4. Step 4: Simplify right side
    2,037.56x = 3,546,467.72
  5. Step 5: Solve for x
    x = 3,546,467.72/2,037.56
  6. Step 6: Final answer
    x = 1,740.55

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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.