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Finding the Fourth Proportional to 2,280.26, 3,420.52 and 636.90

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Solution

The fourth proportional to 2,280.26, 3,420.52 and 636.90 is: 955.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,280.26 : 3,420.52 = 636.90 : x
  2. Step 2: Convert to fraction form
    2,280.26/3,420.52 = 636.90/x
  3. Step 3: Cross multiply
    2,280.26x = 3,420.52 × 636.90
  4. Step 4: Simplify right side
    2,280.26x = 2,178,527.60
  5. Step 5: Solve for x
    x = 2,178,527.60/2,280.26
  6. Step 6: Final answer
    x = 955.39

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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.