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Finding the Fourth Proportional to 2,347.14, 3,238.94 and 1,299.18

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Solution

The fourth proportional to 2,347.14, 3,238.94 and 1,299.18 is: 1,792.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,347.14 : 3,238.94 = 1,299.18 : x
  2. Step 2: Convert to fraction form
    2,347.14/3,238.94 = 1,299.18/x
  3. Step 3: Cross multiply
    2,347.14x = 3,238.94 × 1,299.18
  4. Step 4: Simplify right side
    2,347.14x = 4,207,966.07
  5. Step 5: Solve for x
    x = 4,207,966.07/2,347.14
  6. Step 6: Final answer
    x = 1,792.81

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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.