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Finding the Fourth Proportional to 2,421.68, 3,633.04 and 960.78

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Solution

The fourth proportional to 2,421.68, 3,633.04 and 960.78 is: 1,441.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,421.68 : 3,633.04 = 960.78 : x
  2. Step 2: Convert to fraction form
    2,421.68/3,633.04 = 960.78/x
  3. Step 3: Cross multiply
    2,421.68x = 3,633.04 × 960.78
  4. Step 4: Simplify right side
    2,421.68x = 3,490,552.17
  5. Step 5: Solve for x
    x = 3,490,552.17/2,421.68
  6. Step 6: Final answer
    x = 1,441.38

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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.