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Finding the Fourth Proportional to 2,347.13, 3,239.06 and 1,299.21

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Solution

The fourth proportional to 2,347.13, 3,239.06 and 1,299.21 is: 1,792.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,347.13 : 3,239.06 = 1,299.21 : x
  2. Step 2: Convert to fraction form
    2,347.13/3,239.06 = 1,299.21/x
  3. Step 3: Cross multiply
    2,347.13x = 3,239.06 × 1,299.21
  4. Step 4: Simplify right side
    2,347.13x = 4,208,212.65
  5. Step 5: Solve for x
    x = 4,208,212.65/2,347.13
  6. Step 6: Final answer
    x = 1,792.92

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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.