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Finding the Fourth Proportional to 2,449.51, 3,674.25 and 600.64

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Solution

The fourth proportional to 2,449.51, 3,674.25 and 600.64 is: 900.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,449.51 : 3,674.25 = 600.64 : x
  2. Step 2: Convert to fraction form
    2,449.51/3,674.25 = 600.64/x
  3. Step 3: Cross multiply
    2,449.51x = 3,674.25 × 600.64
  4. Step 4: Simplify right side
    2,449.51x = 2,206,901.52
  5. Step 5: Solve for x
    x = 2,206,901.52/2,449.51
  6. Step 6: Final answer
    x = 900.96

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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.