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Finding the Fourth Proportional to 3,123.59, 4,680.75 and 1,272.44

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Solution

The fourth proportional to 3,123.59, 4,680.75 and 1,272.44 is: 1,906.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,123.59 : 4,680.75 = 1,272.44 : x
  2. Step 2: Convert to fraction form
    3,123.59/4,680.75 = 1,272.44/x
  3. Step 3: Cross multiply
    3,123.59x = 4,680.75 × 1,272.44
  4. Step 4: Simplify right side
    3,123.59x = 5,955,967.17
  5. Step 5: Solve for x
    x = 5,955,967.17/3,123.59
  6. Step 6: Final answer
    x = 1,906.77

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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.