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Finding the Fourth Proportional to 3,037.51, 4,556.31 and 846.21

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Solution

The fourth proportional to 3,037.51, 4,556.31 and 846.21 is: 1,269.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,037.51 : 4,556.31 = 846.21 : x
  2. Step 2: Convert to fraction form
    3,037.51/4,556.31 = 846.21/x
  3. Step 3: Cross multiply
    3,037.51x = 4,556.31 × 846.21
  4. Step 4: Simplify right side
    3,037.51x = 3,855,590.85
  5. Step 5: Solve for x
    x = 3,855,590.85/3,037.51
  6. Step 6: Final answer
    x = 1,269.33

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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.