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Finding the Fourth Proportional to 3,037.54, 4,556.37 and 816.37

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Solution

The fourth proportional to 3,037.54, 4,556.37 and 816.37 is: 1,224.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,037.54 : 4,556.37 = 816.37 : x
  2. Step 2: Convert to fraction form
    3,037.54/4,556.37 = 816.37/x
  3. Step 3: Cross multiply
    3,037.54x = 4,556.37 × 816.37
  4. Step 4: Simplify right side
    3,037.54x = 3,719,688.26
  5. Step 5: Solve for x
    x = 3,719,688.26/3,037.54
  6. Step 6: Final answer
    x = 1,224.57

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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.