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Finding the Fourth Proportional to 2,421.05, 3,632.04 and 960.21

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Solution

The fourth proportional to 2,421.05, 3,632.04 and 960.21 is: 1,440.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,421.05 : 3,632.04 = 960.21 : x
  2. Step 2: Convert to fraction form
    2,421.05/3,632.04 = 960.21/x
  3. Step 3: Cross multiply
    2,421.05x = 3,632.04 × 960.21
  4. Step 4: Simplify right side
    2,421.05x = 3,487,521.13
  5. Step 5: Solve for x
    x = 3,487,521.13/2,421.05
  6. Step 6: Final answer
    x = 1,440.50

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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.