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Finding the Fourth Proportional to 2,824.56, 3,898.02 and 1,878.60

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Solution

The fourth proportional to 2,824.56, 3,898.02 and 1,878.60 is: 2,592.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,824.56 : 3,898.02 = 1,878.60 : x
  2. Step 2: Convert to fraction form
    2,824.56/3,898.02 = 1,878.60/x
  3. Step 3: Cross multiply
    2,824.56x = 3,898.02 × 1,878.60
  4. Step 4: Simplify right side
    2,824.56x = 7,322,820.37
  5. Step 5: Solve for x
    x = 7,322,820.37/2,824.56
  6. Step 6: Final answer
    x = 2,592.55

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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.