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Finding the Fourth Proportional to 3,175.08, 4,761.69 and 953.82

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Solution

The fourth proportional to 3,175.08, 4,761.69 and 953.82 is: 1,430.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,175.08 : 4,761.69 = 953.82 : x
  2. Step 2: Convert to fraction form
    3,175.08/4,761.69 = 953.82/x
  3. Step 3: Cross multiply
    3,175.08x = 4,761.69 × 953.82
  4. Step 4: Simplify right side
    3,175.08x = 4,541,795.16
  5. Step 5: Solve for x
    x = 4,541,795.16/3,175.08
  6. Step 6: Final answer
    x = 1,430.45

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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.