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Finding the Fourth Proportional to 2,714.47, 4,072.95 and 1,882.80

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Solution

The fourth proportional to 2,714.47, 4,072.95 and 1,882.80 is: 2,825.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,714.47 : 4,072.95 = 1,882.80 : x
  2. Step 2: Convert to fraction form
    2,714.47/4,072.95 = 1,882.80/x
  3. Step 3: Cross multiply
    2,714.47x = 4,072.95 × 1,882.80
  4. Step 4: Simplify right side
    2,714.47x = 7,668,550.26
  5. Step 5: Solve for x
    x = 7,668,550.26/2,714.47
  6. Step 6: Final answer
    x = 2,825.07

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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.