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Finding the Fourth Proportional to 2,681.78, 4,023.54 and 1,276.80

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Solution

The fourth proportional to 2,681.78, 4,023.54 and 1,276.80 is: 1,915.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,681.78 : 4,023.54 = 1,276.80 : x
  2. Step 2: Convert to fraction form
    2,681.78/4,023.54 = 1,276.80/x
  3. Step 3: Cross multiply
    2,681.78x = 4,023.54 × 1,276.80
  4. Step 4: Simplify right side
    2,681.78x = 5,137,240.78
  5. Step 5: Solve for x
    x = 5,137,240.78/2,681.78
  6. Step 6: Final answer
    x = 1,915.61

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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.