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Finding the Fourth Proportional to 2,301.21, 3,451.36 and 657.92

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Solution

The fourth proportional to 2,301.21, 3,451.36 and 657.92 is: 986.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,301.21 : 3,451.36 = 657.92 : x
  2. Step 2: Convert to fraction form
    2,301.21/3,451.36 = 657.92/x
  3. Step 3: Cross multiply
    2,301.21x = 3,451.36 × 657.92
  4. Step 4: Simplify right side
    2,301.21x = 2,270,726.99
  5. Step 5: Solve for x
    x = 2,270,726.99/2,301.21
  6. Step 6: Final answer
    x = 986.75

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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.