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Finding the Fourth Proportional to 2,850.96, 3,934.71 and 1,672.50

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Solution

The fourth proportional to 2,850.96, 3,934.71 and 1,672.50 is: 2,308.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,850.96 : 3,934.71 = 1,672.50 : x
  2. Step 2: Convert to fraction form
    2,850.96/3,934.71 = 1,672.50/x
  3. Step 3: Cross multiply
    2,850.96x = 3,934.71 × 1,672.50
  4. Step 4: Simplify right side
    2,850.96x = 6,580,802.48
  5. Step 5: Solve for x
    x = 6,580,802.48/2,850.96
  6. Step 6: Final answer
    x = 2,308.28

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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.