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Finding the Fourth Proportional to 2,347.26, 3,239.01 and 1,299.12

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Solution

The fourth proportional to 2,347.26, 3,239.01 and 1,299.12 is: 1,792.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,347.26 : 3,239.01 = 1,299.12 : x
  2. Step 2: Convert to fraction form
    2,347.26/3,239.01 = 1,299.12/x
  3. Step 3: Cross multiply
    2,347.26x = 3,239.01 × 1,299.12
  4. Step 4: Simplify right side
    2,347.26x = 4,207,862.67
  5. Step 5: Solve for x
    x = 4,207,862.67/2,347.26
  6. Step 6: Final answer
    x = 1,792.67

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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.