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Finding the Fourth Proportional to 2,406, 3,602.88 and 2,184.12

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Solution

The fourth proportional to 2,406, 3,602.88 and 2,184.12 is: 3,270.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,406 : 3,602.88 = 2,184.12 : x
  2. Step 2: Convert to fraction form
    2,406/3,602.88 = 2,184.12/x
  3. Step 3: Cross multiply
    2,406x = 3,602.88 × 2,184.12
  4. Step 4: Simplify right side
    2,406x = 7,869,122.27
  5. Step 5: Solve for x
    x = 7,869,122.27/2,406
  6. Step 6: Final answer
    x = 3,270.62

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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.