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Finding the Fourth Proportional to 2,346.49, 3,238.02 and 1,284.05

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Solution

The fourth proportional to 2,346.49, 3,238.02 and 1,284.05 is: 1,771.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,346.49 : 3,238.02 = 1,284.05 : x
  2. Step 2: Convert to fraction form
    2,346.49/3,238.02 = 1,284.05/x
  3. Step 3: Cross multiply
    2,346.49x = 3,238.02 × 1,284.05
  4. Step 4: Simplify right side
    2,346.49x = 4,157,787.68
  5. Step 5: Solve for x
    x = 4,157,787.68/2,346.49
  6. Step 6: Final answer
    x = 1,771.92

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.