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Finding the Fourth Proportional to 2,649.93, 3,972.39 and 1,262.53

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Solution

The fourth proportional to 2,649.93, 3,972.39 and 1,262.53 is: 1,892.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,649.93 : 3,972.39 = 1,262.53 : x
  2. Step 2: Convert to fraction form
    2,649.93/3,972.39 = 1,262.53/x
  3. Step 3: Cross multiply
    2,649.93x = 3,972.39 × 1,262.53
  4. Step 4: Simplify right side
    2,649.93x = 5,015,261.55
  5. Step 5: Solve for x
    x = 5,015,261.55/2,649.93
  6. Step 6: Final answer
    x = 1,892.60

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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.