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Finding the Fourth Proportional to 2,328.76, 3,213.30 and 1,397.26

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Solution

The fourth proportional to 2,328.76, 3,213.30 and 1,397.26 is: 1,927.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,328.76 : 3,213.30 = 1,397.26 : x
  2. Step 2: Convert to fraction form
    2,328.76/3,213.30 = 1,397.26/x
  3. Step 3: Cross multiply
    2,328.76x = 3,213.30 × 1,397.26
  4. Step 4: Simplify right side
    2,328.76x = 4,489,815.56
  5. Step 5: Solve for x
    x = 4,489,815.56/2,328.76
  6. Step 6: Final answer
    x = 1,927.99

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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.