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Finding the Fourth Proportional to 2,671.84, 3,687.29 and 1,493.02

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Solution

The fourth proportional to 2,671.84, 3,687.29 and 1,493.02 is: 2,060.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,671.84 : 3,687.29 = 1,493.02 : x
  2. Step 2: Convert to fraction form
    2,671.84/3,687.29 = 1,493.02/x
  3. Step 3: Cross multiply
    2,671.84x = 3,687.29 × 1,493.02
  4. Step 4: Simplify right side
    2,671.84x = 5,505,197.72
  5. Step 5: Solve for x
    x = 5,505,197.72/2,671.84
  6. Step 6: Final answer
    x = 2,060.45

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.