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Finding the Fourth Proportional to 2,607.61, 3,912.69 and 1,146.58

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Solution

The fourth proportional to 2,607.61, 3,912.69 and 1,146.58 is: 1,720.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,607.61 : 3,912.69 = 1,146.58 : x
  2. Step 2: Convert to fraction form
    2,607.61/3,912.69 = 1,146.58/x
  3. Step 3: Cross multiply
    2,607.61x = 3,912.69 × 1,146.58
  4. Step 4: Simplify right side
    2,607.61x = 4,486,212.10
  5. Step 5: Solve for x
    x = 4,486,212.10/2,607.61
  6. Step 6: Final answer
    x = 1,720.43

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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.