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Finding the Fourth Proportional to 2,346.81, 3,238.74 and 1,298.94

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Solution

The fourth proportional to 2,346.81, 3,238.74 and 1,298.94 is: 1,792.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,346.81 : 3,238.74 = 1,298.94 : x
  2. Step 2: Convert to fraction form
    2,346.81/3,238.74 = 1,298.94/x
  3. Step 3: Cross multiply
    2,346.81x = 3,238.74 × 1,298.94
  4. Step 4: Simplify right side
    2,346.81x = 4,206,928.94
  5. Step 5: Solve for x
    x = 4,206,928.94/2,346.81
  6. Step 6: Final answer
    x = 1,792.62

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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.