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Finding the Fourth Proportional to 2,671.47, 4,004.46 and 1,282.72

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Solution

The fourth proportional to 2,671.47, 4,004.46 and 1,282.72 is: 1,922.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,671.47 : 4,004.46 = 1,282.72 : x
  2. Step 2: Convert to fraction form
    2,671.47/4,004.46 = 1,282.72/x
  3. Step 3: Cross multiply
    2,671.47x = 4,004.46 × 1,282.72
  4. Step 4: Simplify right side
    2,671.47x = 5,136,600.93
  5. Step 5: Solve for x
    x = 5,136,600.93/2,671.47
  6. Step 6: Final answer
    x = 1,922.76

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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.