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Finding the Fourth Proportional to 2,346.84, 3,238.74 and 1,298.90

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Solution

The fourth proportional to 2,346.84, 3,238.74 and 1,298.90 is: 1,792.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,346.84 : 3,238.74 = 1,298.90 : x
  2. Step 2: Convert to fraction form
    2,346.84/3,238.74 = 1,298.90/x
  3. Step 3: Cross multiply
    2,346.84x = 3,238.74 × 1,298.90
  4. Step 4: Simplify right side
    2,346.84x = 4,206,811.14
  5. Step 5: Solve for x
    x = 4,206,811.14/2,346.84
  6. Step 6: Final answer
    x = 1,792.54

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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.