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Finding the Fourth Proportional to 3,134.53, 4,315.80 and 2,661.43

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Solution

The fourth proportional to 3,134.53, 4,315.80 and 2,661.43 is: 3,664.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,134.53 : 4,315.80 = 2,661.43 : x
  2. Step 2: Convert to fraction form
    3,134.53/4,315.80 = 2,661.43/x
  3. Step 3: Cross multiply
    3,134.53x = 4,315.80 × 2,661.43
  4. Step 4: Simplify right side
    3,134.53x = 11,486,199.59
  5. Step 5: Solve for x
    x = 11,486,199.59/3,134.53
  6. Step 6: Final answer
    x = 3,664.41

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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.