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Finding the Fourth Proportional to 2,977.59, 4,099.74 and 2,528.55

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Solution

The fourth proportional to 2,977.59, 4,099.74 and 2,528.55 is: 3,481.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,977.59 : 4,099.74 = 2,528.55 : x
  2. Step 2: Convert to fraction form
    2,977.59/4,099.74 = 2,528.55/x
  3. Step 3: Cross multiply
    2,977.59x = 4,099.74 × 2,528.55
  4. Step 4: Simplify right side
    2,977.59x = 10,366,397.58
  5. Step 5: Solve for x
    x = 10,366,397.58/2,977.59
  6. Step 6: Final answer
    x = 3,481.47

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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.