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Finding the Fourth Proportional to 2,812.60, 4,218.90 and 1,719.12

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Solution

The fourth proportional to 2,812.60, 4,218.90 and 1,719.12 is: 2,578.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,812.60 : 4,218.90 = 1,719.12 : x
  2. Step 2: Convert to fraction form
    2,812.60/4,218.90 = 1,719.12/x
  3. Step 3: Cross multiply
    2,812.60x = 4,218.90 × 1,719.12
  4. Step 4: Simplify right side
    2,812.60x = 7,252,795.37
  5. Step 5: Solve for x
    x = 7,252,795.37/2,812.60
  6. Step 6: Final answer
    x = 2,578.68

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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.