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Finding the Fourth Proportional to 2,672.48, 4,005.96 and 1,283.72

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Solution

The fourth proportional to 2,672.48, 4,005.96 and 1,283.72 is: 1,924.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,672.48 : 4,005.96 = 1,283.72 : x
  2. Step 2: Convert to fraction form
    2,672.48/4,005.96 = 1,283.72/x
  3. Step 3: Cross multiply
    2,672.48x = 4,005.96 × 1,283.72
  4. Step 4: Simplify right side
    2,672.48x = 5,142,530.97
  5. Step 5: Solve for x
    x = 5,142,530.97/2,672.48
  6. Step 6: Final answer
    x = 1,924.25

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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.