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Finding the Fourth Proportional to 2,812.66, 4,218.82 and 1,347.36

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Solution

The fourth proportional to 2,812.66, 4,218.82 and 1,347.36 is: 2,020.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,812.66 : 4,218.82 = 1,347.36 : x
  2. Step 2: Convert to fraction form
    2,812.66/4,218.82 = 1,347.36/x
  3. Step 3: Cross multiply
    2,812.66x = 4,218.82 × 1,347.36
  4. Step 4: Simplify right side
    2,812.66x = 5,684,269.32
  5. Step 5: Solve for x
    x = 5,684,269.32/2,812.66
  6. Step 6: Final answer
    x = 2,020.96

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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.