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Finding the Fourth Proportional to 2,882.07, 3,976.54 and 1,762.58

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Solution

The fourth proportional to 2,882.07, 3,976.54 and 1,762.58 is: 2,431.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,882.07 : 3,976.54 = 1,762.58 : x
  2. Step 2: Convert to fraction form
    2,882.07/3,976.54 = 1,762.58/x
  3. Step 3: Cross multiply
    2,882.07x = 3,976.54 × 1,762.58
  4. Step 4: Simplify right side
    2,882.07x = 7,008,975.41
  5. Step 5: Solve for x
    x = 7,008,975.41/2,882.07
  6. Step 6: Final answer
    x = 2,431.92

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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.