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Finding the Fourth Proportional to 3,175.58, 4,760.54 and 1,614.71

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Solution

The fourth proportional to 3,175.58, 4,760.54 and 1,614.71 is: 2,420.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,175.58 : 4,760.54 = 1,614.71 : x
  2. Step 2: Convert to fraction form
    3,175.58/4,760.54 = 1,614.71/x
  3. Step 3: Cross multiply
    3,175.58x = 4,760.54 × 1,614.71
  4. Step 4: Simplify right side
    3,175.58x = 7,686,901.43
  5. Step 5: Solve for x
    x = 7,686,901.43/3,175.58
  6. Step 6: Final answer
    x = 2,420.63

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1.5x scale

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.