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Finding the Fourth Proportional to 2,671.71, 4,006.54 and 1,284.72

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Solution

The fourth proportional to 2,671.71, 4,006.54 and 1,284.72 is: 1,926.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,671.71 : 4,006.54 = 1,284.72 : x
  2. Step 2: Convert to fraction form
    2,671.71/4,006.54 = 1,284.72/x
  3. Step 3: Cross multiply
    2,671.71x = 4,006.54 × 1,284.72
  4. Step 4: Simplify right side
    2,671.71x = 5,147,282.07
  5. Step 5: Solve for x
    x = 5,147,282.07/2,671.71
  6. Step 6: Final answer
    x = 1,926.59

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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.