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Finding the Fourth Proportional to 2,153.43, 2,967.17 and 1,734.26

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Solution

The fourth proportional to 2,153.43, 2,967.17 and 1,734.26 is: 2,389.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,153.43 : 2,967.17 = 1,734.26 : x
  2. Step 2: Convert to fraction form
    2,153.43/2,967.17 = 1,734.26/x
  3. Step 3: Cross multiply
    2,153.43x = 2,967.17 × 1,734.26
  4. Step 4: Simplify right side
    2,153.43x = 5,145,820.74
  5. Step 5: Solve for x
    x = 5,145,820.74/2,153.43
  6. Step 6: Final answer
    x = 2,389.59

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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.