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Finding the Fourth Proportional to 2,179.71, 3,267.14 and 1,010.27

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Solution

The fourth proportional to 2,179.71, 3,267.14 and 1,010.27 is: 1,514.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,179.71 : 3,267.14 = 1,010.27 : x
  2. Step 2: Convert to fraction form
    2,179.71/3,267.14 = 1,010.27/x
  3. Step 3: Cross multiply
    2,179.71x = 3,267.14 × 1,010.27
  4. Step 4: Simplify right side
    2,179.71x = 3,300,696.64
  5. Step 5: Solve for x
    x = 3,300,696.64/2,179.71
  6. Step 6: Final answer
    x = 1,514.28

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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.