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Finding the Fourth Proportional to 2,280.43, 3,420.68 and 636.99

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Solution

The fourth proportional to 2,280.43, 3,420.68 and 636.99 is: 955.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,280.43 : 3,420.68 = 636.99 : x
  2. Step 2: Convert to fraction form
    2,280.43/3,420.68 = 636.99/x
  3. Step 3: Cross multiply
    2,280.43x = 3,420.68 × 636.99
  4. Step 4: Simplify right side
    2,280.43x = 2,178,938.95
  5. Step 5: Solve for x
    x = 2,178,938.95/2,280.43
  6. Step 6: Final answer
    x = 955.49

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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.