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Finding the Fourth Proportional to 2,280.12, 3,420.06 and 636.57

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Solution

The fourth proportional to 2,280.12, 3,420.06 and 636.57 is: 954.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,280.12 : 3,420.06 = 636.57 : x
  2. Step 2: Convert to fraction form
    2,280.12/3,420.06 = 636.57/x
  3. Step 3: Cross multiply
    2,280.12x = 3,420.06 × 636.57
  4. Step 4: Simplify right side
    2,280.12x = 2,177,107.59
  5. Step 5: Solve for x
    x = 2,177,107.59/2,280.12
  6. Step 6: Final answer
    x = 954.82

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.