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Finding the Fourth Proportional to 2,627.76, 3,943 and 2,476.49

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Solution

The fourth proportional to 2,627.76, 3,943 and 2,476.49 is: 3,716.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,627.76 : 3,943 = 2,476.49 : x
  2. Step 2: Convert to fraction form
    2,627.76/3,943 = 2,476.49/x
  3. Step 3: Cross multiply
    2,627.76x = 3,943 × 2,476.49
  4. Step 4: Simplify right side
    2,627.76x = 9,764,800.07
  5. Step 5: Solve for x
    x = 9,764,800.07/2,627.76
  6. Step 6: Final answer
    x = 3,716.02

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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.