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Finding the Fourth Proportional to 2,576.41, 3,878.58 and 2,308.50

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Solution

The fourth proportional to 2,576.41, 3,878.58 and 2,308.50 is: 3,475.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,576.41 : 3,878.58 = 2,308.50 : x
  2. Step 2: Convert to fraction form
    2,576.41/3,878.58 = 2,308.50/x
  3. Step 3: Cross multiply
    2,576.41x = 3,878.58 × 2,308.50
  4. Step 4: Simplify right side
    2,576.41x = 8,953,710.59
  5. Step 5: Solve for x
    x = 8,953,710.59/2,576.41
  6. Step 6: Final answer
    x = 3,475.27

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.