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Finding the Fourth Proportional to 3,175.40, 4,762.56 and 866.36

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Solution

The fourth proportional to 3,175.40, 4,762.56 and 866.36 is: 1,299.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,175.40 : 4,762.56 = 866.36 : x
  2. Step 2: Convert to fraction form
    3,175.40/4,762.56 = 866.36/x
  3. Step 3: Cross multiply
    3,175.40x = 4,762.56 × 866.36
  4. Step 4: Simplify right side
    3,175.40x = 4,126,091.48
  5. Step 5: Solve for x
    x = 4,126,091.48/3,175.40
  6. Step 6: Final answer
    x = 1,299.39

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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.