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Finding the Fourth Proportional to 2,037.66, 3,056.48 and 739.43

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Solution

The fourth proportional to 2,037.66, 3,056.48 and 739.43 is: 1,109.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,037.66 : 3,056.48 = 739.43 : x
  2. Step 2: Convert to fraction form
    2,037.66/3,056.48 = 739.43/x
  3. Step 3: Cross multiply
    2,037.66x = 3,056.48 × 739.43
  4. Step 4: Simplify right side
    2,037.66x = 2,260,052.42
  5. Step 5: Solve for x
    x = 2,260,052.42/2,037.66
  6. Step 6: Final answer
    x = 1,109.14

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.