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Finding the Fourth Proportional to 2,280.72, 3,420.28 and 636.82

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Solution

The fourth proportional to 2,280.72, 3,420.28 and 636.82 is: 955.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,280.72 : 3,420.28 = 636.82 : x
  2. Step 2: Convert to fraction form
    2,280.72/3,420.28 = 636.82/x
  3. Step 3: Cross multiply
    2,280.72x = 3,420.28 × 636.82
  4. Step 4: Simplify right side
    2,280.72x = 2,178,102.71
  5. Step 5: Solve for x
    x = 2,178,102.71/2,280.72
  6. Step 6: Final answer
    x = 955.01

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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.