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Finding the Fourth Proportional to 2,673.90, 4,010.85 and 2,117.10

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Solution

The fourth proportional to 2,673.90, 4,010.85 and 2,117.10 is: 3,175.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,673.90 : 4,010.85 = 2,117.10 : x
  2. Step 2: Convert to fraction form
    2,673.90/4,010.85 = 2,117.10/x
  3. Step 3: Cross multiply
    2,673.90x = 4,010.85 × 2,117.10
  4. Step 4: Simplify right side
    2,673.90x = 8,491,370.54
  5. Step 5: Solve for x
    x = 8,491,370.54/2,673.90
  6. Step 6: Final answer
    x = 3,175.65

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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.