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Finding the Fourth Proportional to 2,674.18, 4,010.54 and 799.63

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Solution

The fourth proportional to 2,674.18, 4,010.54 and 799.63 is: 1,199.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,674.18 : 4,010.54 = 799.63 : x
  2. Step 2: Convert to fraction form
    2,674.18/4,010.54 = 799.63/x
  3. Step 3: Cross multiply
    2,674.18x = 4,010.54 × 799.63
  4. Step 4: Simplify right side
    2,674.18x = 3,206,948.10
  5. Step 5: Solve for x
    x = 3,206,948.10/2,674.18
  6. Step 6: Final answer
    x = 1,199.23

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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.