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Finding the Fourth Proportional to 2,735.33, 4,097.32 and 1,275.71

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Solution

The fourth proportional to 2,735.33, 4,097.32 and 1,275.71 is: 1,910.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,735.33 : 4,097.32 = 1,275.71 : x
  2. Step 2: Convert to fraction form
    2,735.33/4,097.32 = 1,275.71/x
  3. Step 3: Cross multiply
    2,735.33x = 4,097.32 × 1,275.71
  4. Step 4: Simplify right side
    2,735.33x = 5,226,968.42
  5. Step 5: Solve for x
    x = 5,226,968.42/2,735.33
  6. Step 6: Final answer
    x = 1,910.91

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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.