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Finding the Fourth Proportional to 2,037.76, 3,056.60 and 576.99

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Solution

The fourth proportional to 2,037.76, 3,056.60 and 576.99 is: 865.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,037.76 : 3,056.60 = 576.99 : x
  2. Step 2: Convert to fraction form
    2,037.76/3,056.60 = 576.99/x
  3. Step 3: Cross multiply
    2,037.76x = 3,056.60 × 576.99
  4. Step 4: Simplify right side
    2,037.76x = 1,763,629.08
  5. Step 5: Solve for x
    x = 1,763,629.08/2,037.76
  6. Step 6: Final answer
    x = 865.48

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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.