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Finding the Fourth Proportional to 2,283.02, 3,424.71 and 639.70

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Solution

The fourth proportional to 2,283.02, 3,424.71 and 639.70 is: 959.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,283.02 : 3,424.71 = 639.70 : x
  2. Step 2: Convert to fraction form
    2,283.02/3,424.71 = 639.70/x
  3. Step 3: Cross multiply
    2,283.02x = 3,424.71 × 639.70
  4. Step 4: Simplify right side
    2,283.02x = 2,190,775.43
  5. Step 5: Solve for x
    x = 2,190,775.43/2,283.02
  6. Step 6: Final answer
    x = 959.59

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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.