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Finding the Fourth Proportional to 2,810.38, 4,216.38 and 1,166.62

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Solution

The fourth proportional to 2,810.38, 4,216.38 and 1,166.62 is: 1,750.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,810.38 : 4,216.38 = 1,166.62 : x
  2. Step 2: Convert to fraction form
    2,810.38/4,216.38 = 1,166.62/x
  3. Step 3: Cross multiply
    2,810.38x = 4,216.38 × 1,166.62
  4. Step 4: Simplify right side
    2,810.38x = 4,918,913.24
  5. Step 5: Solve for x
    x = 4,918,913.24/2,810.38
  6. Step 6: Final answer
    x = 1,750.27

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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.