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Finding the Fourth Proportional to 3,175, 4,762.80 and 1,094.92

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Solution

The fourth proportional to 3,175, 4,762.80 and 1,094.92 is: 1,642.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,175 : 4,762.80 = 1,094.92 : x
  2. Step 2: Convert to fraction form
    3,175/4,762.80 = 1,094.92/x
  3. Step 3: Cross multiply
    3,175x = 4,762.80 × 1,094.92
  4. Step 4: Simplify right side
    3,175x = 5,214,884.98
  5. Step 5: Solve for x
    x = 5,214,884.98/3,175
  6. Step 6: Final answer
    x = 1,642.48

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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.