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Finding the Fourth Proportional to 2,072.71, 2,860.07 and 1,276.45

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Solution

The fourth proportional to 2,072.71, 2,860.07 and 1,276.45 is: 1,761.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,072.71 : 2,860.07 = 1,276.45 : x
  2. Step 2: Convert to fraction form
    2,072.71/2,860.07 = 1,276.45/x
  3. Step 3: Cross multiply
    2,072.71x = 2,860.07 × 1,276.45
  4. Step 4: Simplify right side
    2,072.71x = 3,650,722.82
  5. Step 5: Solve for x
    x = 3,650,722.82/2,072.71
  6. Step 6: Final answer
    x = 1,761.33

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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.