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Finding the Fourth Proportional to 2,278.98, 3,417.90 and 635.46

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Solution

The fourth proportional to 2,278.98, 3,417.90 and 635.46 is: 953.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,278.98 : 3,417.90 = 635.46 : x
  2. Step 2: Convert to fraction form
    2,278.98/3,417.90 = 635.46/x
  3. Step 3: Cross multiply
    2,278.98x = 3,417.90 × 635.46
  4. Step 4: Simplify right side
    2,278.98x = 2,171,938.73
  5. Step 5: Solve for x
    x = 2,171,938.73/2,278.98
  6. Step 6: Final answer
    x = 953.03

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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.