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Finding the Fourth Proportional to 2,874.39, 4,313.64 and 1,232.13

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Solution

The fourth proportional to 2,874.39, 4,313.64 and 1,232.13 is: 1,849.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,874.39 : 4,313.64 = 1,232.13 : x
  2. Step 2: Convert to fraction form
    2,874.39/4,313.64 = 1,232.13/x
  3. Step 3: Cross multiply
    2,874.39x = 4,313.64 × 1,232.13
  4. Step 4: Simplify right side
    2,874.39x = 5,314,965.25
  5. Step 5: Solve for x
    x = 5,314,965.25/2,874.39
  6. Step 6: Final answer
    x = 1,849.08

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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.