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Finding the Fourth Proportional to 2,406.82, 3,610.36 and 763.50

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Solution

The fourth proportional to 2,406.82, 3,610.36 and 763.50 is: 1,145.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,406.82 : 3,610.36 = 763.50 : x
  2. Step 2: Convert to fraction form
    2,406.82/3,610.36 = 763.50/x
  3. Step 3: Cross multiply
    2,406.82x = 3,610.36 × 763.50
  4. Step 4: Simplify right side
    2,406.82x = 2,756,487.99
  5. Step 5: Solve for x
    x = 2,756,487.99/2,406.82
  6. Step 6: Final answer
    x = 1,145.28

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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.