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Finding the Fourth Proportional to 2,662.89, 3,994.52 and 907.17

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Solution

The fourth proportional to 2,662.89, 3,994.52 and 907.17 is: 1,360.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,662.89 : 3,994.52 = 907.17 : x
  2. Step 2: Convert to fraction form
    2,662.89/3,994.52 = 907.17/x
  3. Step 3: Cross multiply
    2,662.89x = 3,994.52 × 907.17
  4. Step 4: Simplify right side
    2,662.89x = 3,623,704.17
  5. Step 5: Solve for x
    x = 3,623,704.17/2,662.89
  6. Step 6: Final answer
    x = 1,360.82

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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.